102120211120212 has 36 divisors (see below), whose sum is σ = 258644346154740. Its totient is φ = 33973194001152.

The previous prime is 102120211120199. The next prime is 102120211120247. The reversal of 102120211120212 is 212021112021201.

102120211120212 is a `hidden beast` number, since 1 + 0 + 2 + 120 + 211 + 120 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94512345288516 + 7607865831696 = 9721746^2 + 2758236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2786496933 + ... + 2786533580.

It is an arithmetic number, because the mean of its divisors is an integer number (7184565170965).

Almost surely, 2^{102120211120212} is an apocalyptic number.

102120211120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120211120212 is an abundant number, since it is smaller than the sum of its proper divisors (156524135034528).

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

102120211120212 is a wasteful number, since it uses less digits than its factorization.

102120211120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573031032 (or 5573031027 counting only the distinct ones).

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

Adding to 102120211120212 its reverse (212021112021201), we get a palindrome (314141323141413).

The spelling of 102120211120212 in words is "one hundred two trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty thousand, two hundred twelve".