102221012112120 has 256 divisors, whose sum is σ = 377806425984000. Its totient is φ = 24374607782400.

The previous prime is 102221012112119. The next prime is 102221012112139. The reversal of 102221012112120 is 21211210122201.

102221012112120 is a `hidden beast` number, since 10 + 22 + 210 + 1 + 211 + 212 + 0 = 666.

102221012112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102221012112093 and 102221012112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69803700 + ... + 71253059.

It is an arithmetic number, because the mean of its divisors is an integer number (1475806351500).

Almost surely, 2^{102221012112120} is an apocalyptic number.

102221012112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221012112120 is an abundant number, since it is smaller than the sum of its proper divisors (275585413871880).

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

102221012112120 is a wasteful number, since it uses less digits than its factorization.

102221012112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141056851 (or 141056841 counting only the distinct ones).

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

Adding to 102221012112120 its reverse (21211210122201), we get a palindrome (123432222234321).

The spelling of 102221012112120 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, one hundred twelve thousand, one hundred twenty".