100102002111120 has 80 divisors (see below), whose sum is σ = 328570101060480. Its totient is φ = 25123639744512.

The previous prime is 100102002111109. The next prime is 100102002111169. The reversal of 100102002111120 is 21111200201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102002111096 and 100102002111105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12267398140 + ... + 12267406299.

It is an arithmetic number, because the mean of its divisors is an integer number (4107126263256).

Almost surely, 2^{100102002111120} is an apocalyptic number.

100102002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002111120 is an abundant number, since it is smaller than the sum of its proper divisors (228468098949360).

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

100102002111120 is a wasteful number, since it uses less digits than its factorization.

100102002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24534804472 (or 24534804466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102002111120 its reverse (21111200201001), we get a palindrome (121213202312121).

The spelling of 100102002111120 in words is "one hundred trillion, one hundred two billion, two million, one hundred eleven thousand, one hundred twenty".