220102123202120 has 64 divisors (see below), whose sum is σ = 513922776289200. Its totient is φ = 84736803343360.

The previous prime is 220102123202111. The next prime is 220102123202123. The reversal of 220102123202120 is 21202321201022.

It can be written as a sum of positive squares in 8 ways, for example, as 90450333049444 + 129651790152676 = 9510538^2 + 11386474^2 .

It is a super-2 number, since 2×220102123202120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220102123202092 and 220102123202101.

It is not an unprimeable number, because it can be changed into a prime (220102123202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298911791 + ... + 299647230.

Almost surely, 2^{220102123202120} is an apocalyptic number.

220102123202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102123202120 is an abundant number, since it is smaller than the sum of its proper divisors (293820653087080).

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

220102123202120 is a wasteful number, since it uses less digits than its factorization.

220102123202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598559378 (or 598559374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220102123202120 its reverse (21202321201022), we get a palindrome (241304444403142).

The spelling of 220102123202120 in words is "two hundred twenty trillion, one hundred two billion, one hundred twenty-three million, two hundred two thousand, one hundred twenty".