102220212211020 has 108 divisors (see below), whose sum is σ = 313168358477520. Its totient is φ = 26988834422400.

The previous prime is 102220212210997. The next prime is 102220212211021. The reversal of 102220212211020 is 20112212022201.

It is a happy number.

102220212211020 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 212 + 211 + 0 + 20 = 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 = 102220212210984 and 102220212211002.

It is not an unprimeable number, because it can be changed into a prime (102220212211021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25998840 + ... + 29671199.

It is an arithmetic number, because the mean of its divisors is an integer number (2899707022940).

Almost surely, 2^{102220212211020} is an apocalyptic number.

102220212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220212211020 is an abundant number, since it is smaller than the sum of its proper divisors (210948146266500).

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

102220212211020 is a wasteful number, since it uses less digits than its factorization.

102220212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55670256 (or 55670150 counting only the distinct ones).

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

Adding to 102220212211020 its reverse (20112212022201), we get a palindrome (122332424233221).

The spelling of 102220212211020 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, twenty".