10202120102220 has 48 divisors (see below), whose sum is σ = 28569731672160. Its totient is φ = 2720203895296.

The previous prime is 10202120102219. The next prime is 10202120102287. The reversal of 10202120102220 is 2220102120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202120102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10840287 + ... + 11743766.

It is an arithmetic number, because the mean of its divisors is an integer number (595202743170).

Almost surely, 2^{10202120102220} is an apocalyptic number.

10202120102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202120102220 is an abundant number, since it is smaller than the sum of its proper divisors (18367611569940).

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

10202120102220 is a wasteful number, since it uses less digits than its factorization.

10202120102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22591594 (or 22591592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202120102220 its reverse (2220102120201), we get a palindrome (12422222222421).

The spelling of 10202120102220 in words is "ten trillion, two hundred two billion, one hundred twenty million, one hundred two thousand, two hundred twenty".