102112211102220 has 216 divisors, whose sum is σ = 349150161906000. Its totient is φ = 23955943507200.

The previous prime is 102112211102201. The next prime is 102112211102339. The reversal of 102112211102220 is 22201112211201.

102112211102220 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 1 + 10 + 2 + 220 = 666.

102112211102220 is digitally balanced in base 4, 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 = 102112211102193 and 102112211102202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24929595 + ... + 28735154.

It is an arithmetic number, because the mean of its divisors is an integer number (1616435934750).

Almost surely, 2^{102112211102220} is an apocalyptic number.

102112211102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112211102220 is an abundant number, since it is smaller than the sum of its proper divisors (247037950803780).

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

102112211102220 is a wasteful number, since it uses less digits than its factorization.

102112211102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53664837 (or 53664801 counting only the distinct ones).

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

Adding to 102112211102220 its reverse (22201112211201), we get a palindrome (124313323313421).

The spelling of 102112211102220 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred twenty".