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101102111100 = 223252213752567
BaseRepresentation
bin101111000101000100…
…1111100100101111100
3100122221222110101110100
41132022021330211330
53124024120023400
6114240133041100
710206255523254
oct1361211744574
9318858411410
10101102111100
1139971562521
1217716a86190
1396c2c4c2a3
144c7158c964
15296ad8b100
hex178a27c97c

101102111100 has 108 divisors (see below), whose sum is σ = 317053273264. Its totient is φ = 26947434240.

The previous prime is 101102111029. The next prime is 101102111107. The reversal of 101102111100 is 1111201101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102111107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1897017 + ... + 1949583.

Almost surely, 2101102111100 is an apocalyptic number.

101102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158526636632).

101102111100 is an abundant number, since it is smaller than the sum of its proper divisors (215951162164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102111100 is a wasteful number, since it uses less digits than its factorization.

101102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54724 (or 54714 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101102111100 its reverse (1111201101), we get a palindrome (102213312201).

Subtracting from 101102111100 its reverse (1111201101), we obtain a palindrome (99990909999).

It can be divided in two parts, 1011021 and 11100, that added together give a square (1022121 = 10112).

The spelling of 101102111100 in words is "one hundred one billion, one hundred two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2137 4274 6411 8548 10685 12822 19233 21370 25644 32055 38466 42740 52567 53425 64110 76932 96165 105134 106850 128220 157701 160275 192330 210268 213700 262835 315402 320550 384660 473103 480825 525670 630804 641100 788505 946206 961650 1051340 1314175 1577010 1892412 1923300 2365515 2628350 3154020 3942525 4731030 5256700 7885050 9462060 11827575 15770100 23655150 47310300 112335679 224671358 337007037 449342716 561678395 674014074 1011021111 1123356790 1348028148 1685035185 2022042222 2246713580 2808391975 3370070370 4044084444 5055105555 5616783950 6740140740 8425175925 10110211110 11233567900 16850351850 20220422220 25275527775 33700703700 50551055550 101102111100