111002120100100 has 18 divisors (see below), whose sum is σ = 240874600617434. Its totient is φ = 44400848040000.

The previous prime is 111002120100059. The next prime is 111002120100139. The reversal of 111002120100100 is 1001021200111.

It can be written as a sum of positive squares in 3 ways, for example, as 2255307125824 + 108746812974276 = 1501768^2 + 10428174^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555010600401 + ... + 555010600600.

Almost surely, 2^{111002120100100} is an apocalyptic number.

111002120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002120100100 is an abundant number, since it is smaller than the sum of its proper divisors (129872480517334).

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

111002120100100 is a wasteful number, since it uses less digits than its factorization.

111002120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110021201015 (or 1110021201008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111002120100100 its reverse (1001021200111), we get a palindrome (112003141300211).

The spelling of 111002120100100 in words is "one hundred eleven trillion, two billion, one hundred twenty million, one hundred thousand, one hundred".