102210202120 has 32 divisors (see below), whose sum is σ = 247663183320. Its totient is φ = 37739151360.

The previous prime is 102210202117. The next prime is 102210202121. The reversal of 102210202120 is 21202012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91446969604 + 10763232516 = 302402^2 + 103746^2 .

It is a super-2 number, since 2×102210202120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102210202120.

It is not an unprimeable number, because it can be changed into a prime (102210202121) 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, 98278521 + ... + 98279560.

Almost surely, 2^102210202120 is an apocalyptic number.

102210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210202120 is an abundant number, since it is smaller than the sum of its proper divisors (145452981200).

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

102210202120 is a wasteful number, since it uses less digits than its factorization.

102210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196558105 (or 196558101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102210202120 its reverse (21202012201), we get a palindrome (123412214321).

The spelling of 102210202120 in words is "one hundred two billion, two hundred ten million, two hundred two thousand, one hundred twenty".