102212010211000 has 64 divisors (see below), whose sum is σ = 239265122503680. Its totient is φ = 40869587228800.

The previous prime is 102212010210967. The next prime is 102212010211009. The reversal of 102212010211000 is 112010212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212010211009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16332727 + ... + 21706726.

It is an arithmetic number, because the mean of its divisors is an integer number (3738517539120).

Almost surely, 2^{102212010211000} is an apocalyptic number.

102212010211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212010211000 is an abundant number, since it is smaller than the sum of its proper divisors (137053112292680).

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

102212010211000 is a wasteful number, since it uses less digits than its factorization.

102212010211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38042161 (or 38042147 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102212010211000 its reverse (112010212201), we get a palindrome (102324020423201).

The spelling of 102212010211000 in words is "one hundred two trillion, two hundred twelve billion, ten million, two hundred eleven thousand".