102101212211012 has 72 divisors (see below), whose sum is σ = 208835582288256. Its totient is φ = 43550252266752.

The previous prime is 102101212210993. The next prime is 102101212211051. The reversal of 102101212211012 is 210112212101201.

It is a super-2 number, since 2×102101212211012² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53863868 + ... + 55727180.

It is an arithmetic number, because the mean of its divisors is an integer number (2900494198448).

Almost surely, 2^{102101212211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101212211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104417791144128).

102101212211012 is an abundant number, since it is smaller than the sum of its proper divisors (106734370077244).

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

102101212211012 is a wasteful number, since it uses less digits than its factorization.

102101212211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864657 (or 1864648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102101212211012 its reverse (210112212101201), we get a palindrome (312213424312213).

The spelling of 102101212211012 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, two hundred eleven thousand, twelve".