100111112012002 has 192 divisors, whose sum is σ = 190974940427520. Its totient is φ = 38524502016000.

The previous prime is 100111112011949. The next prime is 100111112012027. The reversal of 100111112012002 is 200210211111001.

It is a happy number.

It is a super-2 number, since 2×100111112012002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10111207252 + ... + 10111217152.

It is an arithmetic number, because the mean of its divisors is an integer number (994661148060).

Almost surely, 2^{100111112012002} is an apocalyptic number.

100111112012002 is a deficient number, since it is larger than the sum of its proper divisors (90863828415518).

100111112012002 is a wasteful number, since it uses less digits than its factorization.

100111112012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111112012002 its reverse (200210211111001), we get a palindrome (300321323123003).

The spelling of 100111112012002 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, twelve thousand, two".