10112201210100 has 144 divisors (see below), whose sum is σ = 33795301087296. Its totient is φ = 2307240192000.

The previous prime is 10112201210093. The next prime is 10112201210119. The reversal of 10112201210100 is 101210221101.

It is a super-2 number, since 2×10112201210100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90070471 + ... + 90182670.

It is an arithmetic number, because the mean of its divisors is an integer number (234689590884).

Almost surely, 2^{10112201210100} is an apocalyptic number.

10112201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112201210100 is an abundant number, since it is smaller than the sum of its proper divisors (23683099877196).

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

10112201210100 is a wasteful number, since it uses less digits than its factorization.

10112201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180253186 (or 180253179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112201210100 its reverse (101210221101), we get a palindrome (10213411431201).

It can be divided in two parts, 10112201 and 210100, that added together give a palindrome (10322301).

The spelling of 10112201210100 in words is "ten trillion, one hundred twelve billion, two hundred one million, two hundred ten thousand, one hundred".