100100110111002 has 24 divisors (see below), whose sum is σ = 216894405492180. Its totient is φ = 33365036664960.

The previous prime is 100100110110991. The next prime is 100100110111117. The reversal of 100100110111002 is 200111011001001.

It can be written as a sum of positive squares in 2 ways, for example, as 99979221079521 + 120889031481 = 9998961^2 + 347691^2 .

It is a super-3 number, since 3×100100110111002³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 138521727 + ... + 139242482.

Almost surely, 2^{100100110111002} is an apocalyptic number.

100100110111002 is an abundant number, since it is smaller than the sum of its proper divisors (116794295381178).

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

100100110111002 is a wasteful number, since it uses less digits than its factorization.

100100110111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277784238 (or 277784235 counting only the distinct ones).

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

Adding to 100100110111002 its reverse (200111011001001), we get a palindrome (300211121112003).

The spelling of 100100110111002 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two".