102212120120 has 128 divisors (see below), whose sum is σ = 257210173440. Its totient is φ = 36236989440.

The previous prime is 102212120081. The next prime is 102212120159. The reversal of 102212120120 is 21021212201.

It is an interprime number because it is at equal distance from previous prime (102212120081) and next prime (102212120159).

It is a junction number, because it is equal to n+sod(n) for n = 102212120095 and 102212120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5429444 + ... + 5448236.

It is an arithmetic number, because the mean of its divisors is an integer number (2009454480).

Almost surely, 2^102212120120 is an apocalyptic number.

102212120120 is a gapful number since it is divisible by the number (10) 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 102212120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128605086720).

102212120120 is an abundant number, since it is smaller than the sum of its proper divisors (154998053320).

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

102212120120 is a wasteful number, since it uses less digits than its factorization.

102212120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19125 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212120120 its reverse (21021212201), we get a palindrome (123233332321).

The spelling of 102212120120 in words is "one hundred two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".