10102211122100 has 18 divisors (see below), whose sum is σ = 21921798135174. Its totient is φ = 4040884448800.

The previous prime is 10102211122063. The next prime is 10102211122103. The reversal of 10102211122100 is 122111220101.

It can be written as a sum of positive squares in 3 ways, for example, as 1295822508964 + 8806388613136 = 1138342^2 + 2967556^2 .

It is a super-2 number, since 2×10102211122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50511055511 + ... + 50511055710.

Almost surely, 2^{10102211122100} is an apocalyptic number.

10102211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102211122100 is an abundant number, since it is smaller than the sum of its proper divisors (11819587013074).

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

10102211122100 is a wasteful number, since it uses less digits than its factorization.

10102211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101022111235 (or 101022111228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102211122100 its reverse (122111220101), we get a palindrome (10224322342201).

The spelling of 10102211122100 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".