102212222020020 has 72 divisors (see below), whose sum is σ = 354335703007104. Its totient is φ = 23362793604288.

The previous prime is 102212222019977. The next prime is 102212222020021. The reversal of 102212222020020 is 20020222212201.

102212222020020 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 2 + 220 + 200 + 20 = 666.

It is a super-2 number, since 2×102212222020020² (a number of 29 digits) contains 22 as substring.

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 = 102212222019975 and 102212222020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212222020021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40560404304 + ... + 40560406823.

It is an arithmetic number, because the mean of its divisors is an integer number (4921329208432).

Almost surely, 2^{102212222020020} is an apocalyptic number.

102212222020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212222020020 is an abundant number, since it is smaller than the sum of its proper divisors (252123480987084).

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

102212222020020 is a wasteful number, since it uses less digits than its factorization.

102212222020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81120811149 (or 81120811144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102212222020020 its reverse (20020222212201), we get a palindrome (122232444232221).

The spelling of 102212222020020 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-two million, twenty thousand, twenty".