102121121110212 has 72 divisors (see below), whose sum is σ = 267741157501272. Its totient is φ = 32792439168000.

The previous prime is 102121121110163. The next prime is 102121121110219. The reversal of 102121121110212 is 212011121121201.

It is a happy number.

102121121110212 is a `hidden beast` number, since 1 + 0 + 21 + 211 + 211 + 10 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63286861732416 + 38834259377796 = 7955304^2 + 6231714^2 .

It is a super-3 number, since 3×102121121110212³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102121121110219) by changing a digit.

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, 379407589 + ... + 379676652.

Almost surely, 2^{102121121110212} is an apocalyptic number.

102121121110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121121110212 is an abundant number, since it is smaller than the sum of its proper divisors (165620036391060).

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

102121121110212 is a wasteful number, since it uses less digits than its factorization.

102121121110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759084389 (or 759084384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102121121110212 its reverse (212011121121201), we get a palindrome (314132242231413).

The spelling of 102121121110212 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, two hundred twelve".