100102201112112 has 40 divisors (see below), whose sum is σ = 259479937731504. Its totient is φ = 33253518453504.

The previous prime is 100102201112057. The next prime is 100102201112161. The reversal of 100102201112112 is 211211102201001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100102201112091 and 100102201112100.

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, 3558795703 + ... + 3558823830.

Almost surely, 2^{100102201112112} is an apocalyptic number.

100102201112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102201112112 is an abundant number, since it is smaller than the sum of its proper divisors (159377736619392).

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

100102201112112 is a wasteful number, since it uses less digits than its factorization.

100102201112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117619837 (or 7117619831 counting only the distinct ones).

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

Adding to 100102201112112 its reverse (211211102201001), we get a palindrome (311313303313113).

The spelling of 100102201112112 in words is "one hundred trillion, one hundred two billion, two hundred one million, one hundred twelve thousand, one hundred twelve".