101102102112100 has 36 divisors (see below), whose sum is σ = 219392215732144. Its totient is φ = 40440720264480.

The previous prime is 101102102112049. The next prime is 101102102112157. The reversal of 101102102112100 is 1211201201101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37125247 + ... + 39755353.

Almost surely, 2^{101102102112100} is an apocalyptic number.

101102102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102102112100 is an abundant number, since it is smaller than the sum of its proper divisors (118290113620044).

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

101102102112100 is a wasteful number, since it uses less digits than its factorization.

101102102112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014524 (or 3014517 counting only the distinct ones).

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

Adding to 101102102112100 its reverse (1211201201101), we get a palindrome (102313303313201).

The spelling of 101102102112100 in words is "one hundred one trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, one hundred".