10202211120100 has 18 divisors (see below), whose sum is σ = 22138798130834. Its totient is φ = 4080884448000.

The previous prime is 10202211120043. The next prime is 10202211120107. The reversal of 10202211120100 is 102111220201.

It can be written as a sum of positive squares in 3 ways, for example, as 364654145956 + 9837556974144 = 603866^2 + 3136488^2 .

It is a super-2 number, since 2×10202211120100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10202211120107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51011055501 + ... + 51011055700.

Almost surely, 2^{10202211120100} is an apocalyptic number.

10202211120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202211120100 is an abundant number, since it is smaller than the sum of its proper divisors (11936587010734).

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

10202211120100 is a wasteful number, since it uses less digits than its factorization.

10202211120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102022111215 (or 102022111208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202211120100 its reverse (102111220201), we get a palindrome (10304322340301).

The spelling of 10202211120100 in words is "ten trillion, two hundred two billion, two hundred eleven million, one hundred twenty thousand, one hundred".