102212121200220 has 144 divisors (see below), whose sum is σ = 329837120934048. Its totient is φ = 25531658772480.

The previous prime is 102212121200209. The next prime is 102212121200243. The reversal of 102212121200220 is 22002121212201.

It is a happy number.

102212121200220 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 1 + 21 + 200 + 220 = 666.

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 = 102212121200193 and 102212121200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78507549 + ... + 79798868.

It is an arithmetic number, because the mean of its divisors is an integer number (2290535562042).

Almost surely, 2^{102212121200220} is an apocalyptic number.

102212121200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212121200220 is an abundant number, since it is smaller than the sum of its proper divisors (227624999733828).

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

102212121200220 is a wasteful number, since it uses less digits than its factorization.

102212121200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158306660 (or 158306655 counting only the distinct ones).

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

Adding to 102212121200220 its reverse (22002121212201), we get a palindrome (124214242412421).

The spelling of 102212121200220 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand, two hundred twenty".