10120020022100 has 36 divisors (see below), whose sum is σ = 21960602340348. Its totient is φ = 4047978720000.

The previous prime is 10120020022067. The next prime is 10120020022139. The reversal of 10120020022100 is 122002002101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2671727549764 + 7448292472336 = 1634542^2 + 2729156^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18216440 + ... + 18763760.

Almost surely, 2^{10120020022100} is an apocalyptic number.

10120020022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120020022100 is an abundant number, since it is smaller than the sum of its proper divisors (11840582318248).

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

10120020022100 is a wasteful number, since it uses less digits than its factorization.

10120020022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732236 (or 732229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120020022100 its reverse (122002002101), we get a palindrome (10242022024201).

The spelling of 10120020022100 in words is "ten trillion, one hundred twenty billion, twenty million, twenty-two thousand, one hundred".