102121021210212 has 216 divisors, whose sum is σ = 285769930747392. Its totient is φ = 30658360550400.

The previous prime is 102121021210183. The next prime is 102121021210237. The reversal of 102121021210212 is 212012120121201.

102121021210212 is a `hidden beast` number, since 1 + 0 + 21 + 210 + 212 + 10 + 212 = 666.

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

102121021210212 is a modest number, since divided by 1021210212 gives 10212 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33686412 + ... + 36592572.

Almost surely, 2^{102121021210212} is an apocalyptic number.

102121021210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121021210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884965373696).

102121021210212 is an abundant number, since it is smaller than the sum of its proper divisors (183648909537180).

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

102121021210212 is a wasteful number, since it uses less digits than its factorization.

102121021210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906299 (or 2906257 counting only the distinct ones).

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

Adding to 102121021210212 its reverse (212012120121201), we get a palindrome (314133141331413).

The spelling of 102121021210212 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, two hundred ten thousand, two hundred twelve".