102111002122212 has 72 divisors (see below), whose sum is σ = 260947709967672. Its totient is φ = 33664033728000.

The previous prime is 102111002122189. The next prime is 102111002122247. The reversal of 102111002122212 is 212221200111201.

102111002122212 is a `hidden beast` number, since 10 + 211 + 10 + 0 + 212 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2628211622976 + 99482790499236 = 1621176^2 + 9974106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11578839 + ... + 18392702.

It is an arithmetic number, because the mean of its divisors is an integer number (3624273749551).

Almost surely, 2^{102111002122212} is an apocalyptic number.

102111002122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111002122212 is an abundant number, since it is smaller than the sum of its proper divisors (158836707845460).

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

102111002122212 is a wasteful number, since it uses less digits than its factorization.

102111002122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29972589 (or 29972584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102111002122212 its reverse (212221200111201), we get a palindrome (314332202233413).

The spelling of 102111002122212 in words is "one hundred two trillion, one hundred eleven billion, two million, one hundred twenty-two thousand, two hundred twelve".