10220102102120 has 32 divisors (see below), whose sum is σ = 22995751023720. Its totient is φ = 4087948166400.

The previous prime is 10220102102117. The next prime is 10220102102123. The reversal of 10220102102120 is 2120120102201.

It is an interprime number because it is at equal distance from previous prime (10220102102117) and next prime (10220102102123).

It can be written as a sum of positive squares in 4 ways, for example, as 4019872621444 + 6200229480676 = 2004962^2 + 2490026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220102102095 and 10220102102104.

It is not an unprimeable number, because it can be changed into a prime (10220102102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095731 + ... + 4651970.

Almost surely, 2^{10220102102120} is an apocalyptic number.

10220102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220102102120 is an abundant number, since it is smaller than the sum of its proper divisors (12775648921600).

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

10220102102120 is a wasteful number, since it uses less digits than its factorization.

10220102102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792165 (or 5792161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220102102120 its reverse (2120120102201), we get a palindrome (12340222204321).

The spelling of 10220102102120 in words is "ten trillion, two hundred twenty billion, one hundred two million, one hundred two thousand, one hundred twenty".