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100122121100 = 225223401108557
BaseRepresentation
bin101110100111110111…
…1100101001110001100
3100120102200102201220102
41131033233211032030
53120022230333400
6113555004310232
710143055662461
oct1351757451614
9316380381812
10100122121100
1139509366531
12174a2842378
139597bc9c51
144bbb36d668
15290ed0d9d5
hex174fbe538c

100122121100 has 72 divisors (see below), whose sum is σ = 227278765728. Its totient is φ = 38211712000.

The previous prime is 100122121097. The next prime is 100122121111. The reversal of 100122121100 is 1121221001.

Adding to 100122121100 its reverse (1121221001), we get a palindrome (101243342101).

Subtracting from 100122121100 its reverse (1121221001), we obtain a palindrome (99000900099).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868022 + ... + 976578.

It is an arithmetic number, because the mean of its divisors is an integer number (3156649524).

Almost surely, 2100122121100 is an apocalyptic number.

100122121100 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 100122121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113639382864).

100122121100 is an abundant number, since it is smaller than the sum of its proper divisors (127156644628).

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

100122121100 is a wasteful number, since it uses less digits than its factorization.

100122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108995 (or 108988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The spelling of 100122121100 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 401 460 575 802 1150 1604 2005 2300 4010 8020 9223 10025 18446 20050 36892 40100 46115 92230 108557 184460 217114 230575 434228 461150 542785 922300 1085570 2171140 2496811 2713925 4993622 5427850 9987244 10855700 12484055 24968110 43531357 49936220 62420275 87062714 124840550 174125428 217656785 249681100 435313570 870627140 1001221211 1088283925 2002442422 2176567850 4004884844 4353135700 5006106055 10012212110 20024424220 25030530275 50061060550 100122121100