102211020012 has 96 divisors (see below), whose sum is σ = 244543348224. Its totient is φ = 33216998400.

The previous prime is 102211019959. The next prime is 102211020029. The reversal of 102211020012 is 210020112201.

It is a super-2 number, since 2×102211020012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102211020012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52930687 + ... + 52932617.

It is an arithmetic number, because the mean of its divisors is an integer number (2547326544).

Almost surely, 2^102211020012 is an apocalyptic number.

102211020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211020012 is an abundant number, since it is smaller than the sum of its proper divisors (142332328212).

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

102211020012 is a wasteful number, since it uses less digits than its factorization.

102211020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102211020012 its reverse (210020112201), we get a palindrome (312231132213).

The spelling of 102211020012 in words is "one hundred two billion, two hundred eleven million, twenty thousand, twelve".