111012101200100 has 36 divisors (see below), whose sum is σ = 240897185788644. Its totient is φ = 44404669754880.

The previous prime is 111012101200087. The next prime is 111012101200139. The reversal of 111012101200100 is 1002101210111.

It can be written as a sum of positive squares in 6 ways, for example, as 1137093791716 + 109875007408384 = 1066346^2 + 10482128^2 .

It is a super-2 number, since 2×111012101200100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25828352 + ... + 29818248.

It is an arithmetic number, because the mean of its divisors is an integer number (6691588494129).

Almost surely, 2^{111012101200100} is an apocalyptic number.

111012101200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111012101200100 is an abundant number, since it is smaller than the sum of its proper divisors (129885084588544).

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

111012101200100 is a wasteful number, since it uses less digits than its factorization.

111012101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268144 (or 4268137 counting only the distinct ones).

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

Adding to 111012101200100 its reverse (1002101210111), we get a palindrome (112014202410211).

The spelling of 111012101200100 in words is "one hundred eleven trillion, twelve billion, one hundred one million, two hundred thousand, one hundred".