100001110111002 has 128 divisors (see below), whose sum is σ = 231519936614400. Its totient is φ = 31967175600000.

The previous prime is 100001110110977. The next prime is 100001110111009. The reversal of 100001110111002 is 200111011100001.

It is a super-2 number, since 2×100001110111002² (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 not an unprimeable number, because it can be changed into a prime (100001110111009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3478164127 + ... + 3478192877.

It is an arithmetic number, because the mean of its divisors is an integer number (1808749504800).

Almost surely, 2^{100001110111002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001110111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115759968307200).

100001110111002 is an abundant number, since it is smaller than the sum of its proper divisors (131518826503398).

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

100001110111002 is a wasteful number, since it uses less digits than its factorization.

100001110111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55489 (or 55483 counting only the distinct ones).

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

Adding to 100001110111002 its reverse (200111011100001), we get a palindrome (300112121211003).

The spelling of 100001110111002 in words is "one hundred trillion, one billion, one hundred ten million, one hundred eleven thousand, two".