101100100111002 has 12 divisors (see below), whose sum is σ = 219050216907210. Its totient is φ = 33700033370328.

The previous prime is 101100100110959. The next prime is 101100100111019. The reversal of 101100100111002 is 200111001001101.

It can be written as a sum of positive squares in only one way, i.e., 82378114385121 + 18721985725881 = 9076239^2 + 4326891^2 .

It is a super-2 number, since 2×101100100111002² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2808336114177 + ... + 2808336114212.

Almost surely, 2^{101100100111002} is an apocalyptic number.

101100100111002 is an abundant number, since it is smaller than the sum of its proper divisors (117950116796208).

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

101100100111002 is a wasteful number, since it uses less digits than its factorization.

101100100111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616672228397 (or 5616672228394 counting only the distinct ones).

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

Adding to 101100100111002 its reverse (200111001001101), we get a palindrome (301211101112103).

The spelling of 101100100111002 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, two".