100102000111120 has 160 divisors (see below), whose sum is σ = 279820906387200. Its totient is φ = 32575565826048.

The previous prime is 100102000111097. The next prime is 100102000111129. The reversal of 100102000111120 is 21111000201001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102000111097 and 100102000111106.

It is not an unprimeable number, because it can be changed into a prime (100102000111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51278419 + ... + 53194738.

It is an arithmetic number, because the mean of its divisors is an integer number (1748880664920).

Almost surely, 2^{100102000111120} is an apocalyptic number.

100102000111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102000111120 is an abundant number, since it is smaller than the sum of its proper divisors (179718906276080).

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

100102000111120 is a wasteful number, since it uses less digits than its factorization.

100102000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104473265 (or 104473259 counting only the distinct ones).

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

Adding to 100102000111120 its reverse (21111000201001), we get a palindrome (121213000312121).

The spelling of 100102000111120 in words is "one hundred trillion, one hundred two billion, one hundred eleven thousand, one hundred twenty".