100102100000120 has 32 divisors (see below), whose sum is σ = 225230166453600. Its totient is φ = 40040761519488.

The previous prime is 100102100000099. The next prime is 100102100000153. The reversal of 100102100000120 is 21000001201001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100102100000098 and 100102100000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20972966 + ... + 25299594.

It is an arithmetic number, because the mean of its divisors is an integer number (7038442701675).

Almost surely, 2^{100102100000120} is an apocalyptic number.

100102100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102100000120 is an abundant number, since it is smaller than the sum of its proper divisors (125128066453480).

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

100102100000120 is a wasteful number, since it uses less digits than its factorization.

100102100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905047 (or 4905043 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100102100000120 its reverse (21000001201001), we get a palindrome (121102101201121).

The spelling of 100102100000120 in words is "one hundred trillion, one hundred two billion, one hundred million, one hundred twenty", and thus it is an aban number.