10202122012100 has 18 divisors (see below), whose sum is σ = 22138604766474. Its totient is φ = 4080848804800.

The previous prime is 10202122012091. The next prime is 10202122012153. The reversal of 10202122012100 is 121022120201.

It can be written as a sum of positive squares in 3 ways, for example, as 57247261696 + 10144874750404 = 239264^2 + 3185102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51010609961 + ... + 51010610160.

Almost surely, 2^{10202122012100} is an apocalyptic number.

10202122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122012100 is an abundant number, since it is smaller than the sum of its proper divisors (11936482754374).

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

10202122012100 is a wasteful number, since it uses less digits than its factorization.

10202122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102021220135 (or 102021220128 counting only the distinct ones).

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

Adding to 10202122012100 its reverse (121022120201), we get a palindrome (10323144132301).

The spelling of 10202122012100 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, twelve thousand, one hundred".