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101100012201120 = 25352922033296837
BaseRepresentation
bin10110111111001100101110…
…010100000110010010100000
3111020222001210200100011210210
4112333030232110012102200
5101222410311110413440
6555004412053454120
730203143356444462
oct2677145624062240
9436861720304723
10101100012201120
112a239302241039
12b409a39641340
1344548c86038ca
141ad73a3b74132
15ba4c9b380a80
hex5bf32e5064a0

101100012201120 has 192 divisors, whose sum is σ = 329596235982720. Its totient is φ = 26018524213248.

The previous prime is 101100012201059. The next prime is 101100012201127. The reversal of 101100012201120 is 21102210001101.

It is a super-2 number, since 2×1011000122011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101100012201096 and 101100012201105.

It is not an unprimeable number, because it can be changed into a prime (101100012201127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29017342 + ... + 32314178.

It is an arithmetic number, because the mean of its divisors is an integer number (1716647062410).

Almost surely, 2101100012201120 is an apocalyptic number.

101100012201120 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 101100012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164798117991360).

101100012201120 is an abundant number, since it is smaller than the sum of its proper divisors (228496223781600).

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

101100012201120 is a wasteful number, since it uses less digits than its factorization.

101100012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299087 (or 3299079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100012201120 its reverse (21102210001101), we get a palindrome (122202222202221).

The spelling of 101100012201120 in words is "one hundred one trillion, one hundred billion, twelve million, two hundred one thousand, one hundred twenty".