10011022113100 has 72 divisors (see below), whose sum is σ = 22371768115200. Its totient is φ = 3886707739200.

The previous prime is 10011022113061. The next prime is 10011022113109. The reversal of 10011022113100 is 131122011001.

It is a happy number.

It is a super-2 number, since 2×10011022113100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011022113109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10273036 + ... + 11205235.

It is an arithmetic number, because the mean of its divisors is an integer number (310719001600).

Almost surely, 2^{10011022113100} is an apocalyptic number.

10011022113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011022113100 is an abundant number, since it is smaller than the sum of its proper divisors (12360746002100).

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

10011022113100 is a wasteful number, since it uses less digits than its factorization.

10011022113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21478423 (or 21478416 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10011022113100 its reverse (131122011001), we get a palindrome (10142144124101).

The spelling of 10011022113100 in words is "ten trillion, eleven billion, twenty-two million, one hundred thirteen thousand, one hundred".