10210120222100 has 18 divisors (see below), whose sum is σ = 22155960882174. Its totient is φ = 4084048088800.

The previous prime is 10210120222073. The next prime is 10210120222109. The reversal of 10210120222100 is 122202101201.

It can be written as a sum of positive squares in 3 ways, for example, as 2154706923664 + 8055413298436 = 1467892^2 + 2838206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210120222109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51050601011 + ... + 51050601210.

Almost surely, 2^{10210120222100} is an apocalyptic number.

10210120222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210120222100 is an abundant number, since it is smaller than the sum of its proper divisors (11945840660074).

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

10210120222100 is a wasteful number, since it uses less digits than its factorization.

10210120222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102101202235 (or 102101202228 counting only the distinct ones).

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

Adding to 10210120222100 its reverse (122202101201), we get a palindrome (10332322323301).

The spelling of 10210120222100 in words is "ten trillion, two hundred ten billion, one hundred twenty million, two hundred twenty-two thousand, one hundred".