100102000112100 has 108 divisors (see below), whose sum is σ = 358587609313024. Its totient is φ = 22880457167040.

The previous prime is 100102000112099. The next prime is 100102000112111. The reversal of 100102000112100 is 1211000201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7944596884 + ... + 7944609483.

Almost surely, 2^{100102000112100} is an apocalyptic number.

100102000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102000112100 is an abundant number, since it is smaller than the sum of its proper divisors (258485609200924).

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

100102000112100 is a wasteful number, since it uses less digits than its factorization.

100102000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889206394 (or 15889206384 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102000112100 its reverse (1211000201001), we get a palindrome (101313000313101).

The spelling of 100102000112100 in words is "one hundred trillion, one hundred two billion, one hundred twelve thousand, one hundred".