100102112001112 has 16 divisors (see below), whose sum is σ = 202129264617840. Its totient is φ = 46200974769696.

The previous prime is 100102112001091. The next prime is 100102112001149. The reversal of 100102112001112 is 211100211201001.

It is a happy number.

It is a super-3 number, since 3×100102112001112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100102112001092 and 100102112001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481260153748 + ... + 481260153955.

It is an arithmetic number, because the mean of its divisors is an integer number (12633079038615).

Almost surely, 2^{100102112001112} is an apocalyptic number.

It is an amenable number.

100102112001112 is an abundant number, since it is smaller than the sum of its proper divisors (102027152616728).

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

100102112001112 is a wasteful number, since it uses less digits than its factorization.

100102112001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962520307722 (or 962520307718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100102112001112 its reverse (211100211201001), we get a palindrome (311202323202113).

The spelling of 100102112001112 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one thousand, one hundred twelve".