100102121211120 has 120 divisors (see below), whose sum is σ = 360980506532304. Its totient is φ = 22880484845568.

The previous prime is 100102121211109. The next prime is 100102121211181. The reversal of 100102121211120 is 21112121201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100102121211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100102121211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4256030809 + ... + 4256054328.

Almost surely, 2^{100102121211120} is an apocalyptic number.

100102121211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102121211120 is an abundant number, since it is smaller than the sum of its proper divisors (260878385321184).

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

100102121211120 is a wasteful number, since it uses less digits than its factorization.

100102121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512085167 (or 8512085154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100102121211120 its reverse (21112121201001), we get a palindrome (121214242412121).

The spelling of 100102121211120 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".