102120122020212 has 36 divisors (see below), whose sum is σ = 258675883240320. Its totient is φ = 33968975864592.

The previous prime is 102120122020211. The next prime is 102120122020229. The reversal of 102120122020212 is 212020221021201.

It is a happy number.

102120122020212 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 1 + 220 + 20 + 212 = 666.

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 not an unprimeable number, because it can be changed into a prime (102120122020211) 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 11 ways as a sum of consecutive naturals, for example, 2961016218 + ... + 2961050705.

It is an arithmetic number, because the mean of its divisors is an integer number (7185441201120).

Almost surely, 2^{102120122020212} is an apocalyptic number.

102120122020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120122020212 is an abundant number, since it is smaller than the sum of its proper divisors (156555761220108).

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

102120122020212 is a wasteful number, since it uses less digits than its factorization.

102120122020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922067412 (or 5922067407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102120122020212 its reverse (212020221021201), we get a palindrome (314140343041413).

The spelling of 102120122020212 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, twenty thousand, two hundred twelve".