10102210111100 has 18 divisors (see below), whose sum is σ = 21921795941304. Its totient is φ = 4040884044400.

The previous prime is 10102210111051. The next prime is 10102210111117. The reversal of 10102210111100 is 111101220101.

It is a super-2 number, since 2×10102210111100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 50511050456 + ... + 50511050655.

Almost surely, 2^{10102210111100} is an apocalyptic number.

10102210111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210111100 is an abundant number, since it is smaller than the sum of its proper divisors (11819585830204).

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

10102210111100 is a wasteful number, since it uses less digits than its factorization.

10102210111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101022101125 (or 101022101118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102210111100 its reverse (111101220101), we get a palindrome (10213311331201).

The spelling of 10102210111100 in words is "ten trillion, one hundred two billion, two hundred ten million, one hundred eleven thousand, one hundred".