10122010020200 has 48 divisors (see below), whose sum is σ = 25343955864780. Its totient is φ = 3737357544960.

The previous prime is 10122010020173. The next prime is 10122010020223. The reversal of 10122010020200 is 202001022101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1429454577604 + 8692555442596 = 1195598^2 + 2948314^2 .

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 11 ways as a sum of consecutive naturals, for example, 1946537789 + ... + 1946542988.

Almost surely, 2^{10122010020200} is an apocalyptic number.

10122010020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122010020200 is an abundant number, since it is smaller than the sum of its proper divisors (15221945844580).

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

10122010020200 is a wasteful number, since it uses less digits than its factorization.

10122010020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893080806 (or 3893080797 counting only the distinct ones).

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

Adding to 10122010020200 its reverse (202001022101), we get a palindrome (10324011042301).

The spelling of 10122010020200 in words is "ten trillion, one hundred twenty-two billion, ten million, twenty thousand, two hundred".