100101012012 has 72 divisors (see below), whose sum is σ = 256003675200. Its totient is φ = 32976258048.

The previous prime is 100101012001. The next prime is 100101012013. The reversal of 100101012012 is 210210101001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100101011985 and 100101012003.

It is not an unprimeable number, because it can be changed into a prime (100101012013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2490814 + ... + 2530682.

It is an arithmetic number, because the mean of its divisors is an integer number (3555606600).

Almost surely, 2^100101012012 is an apocalyptic number.

100101012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101012012 is an abundant number, since it is smaller than the sum of its proper divisors (155902663188).

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

100101012012 is a wasteful number, since it uses less digits than its factorization.

100101012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40695 (or 40690 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101012012 its reverse (210210101001), we get a palindrome (310311113013).

The spelling of 100101012012 in words is "one hundred billion, one hundred one million, twelve thousand, twelve".