10001022113100 has 144 divisors (see below), whose sum is σ = 30460992871680. Its totient is φ = 2526429715200.

The previous prime is 10001022113083. The next prime is 10001022113183. The reversal of 10001022113100 is 131122010001.

It is a super-2 number, since 2×10001022113100² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128855305 + ... + 128932895.

It is an arithmetic number, because the mean of its divisors is an integer number (211534672720).

Almost surely, 2^{10001022113100} is an apocalyptic number.

10001022113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001022113100 is an abundant number, since it is smaller than the sum of its proper divisors (20459970758580).

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

10001022113100 is a wasteful number, since it uses less digits than its factorization.

10001022113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100240 (or 100233 counting only the distinct ones).

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

Adding to 10001022113100 its reverse (131122010001), we get a palindrome (10132144123101).

The spelling of 10001022113100 in words is "ten trillion, one billion, twenty-two million, one hundred thirteen thousand, one hundred".