101121102002112 has 56 divisors (see below), whose sum is σ = 271542859764096. Its totient is φ = 33203943936768.

The previous prime is 101121102002071. The next prime is 101121102002153. The reversal of 101121102002112 is 211200201121101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101121102002071) and next prime (101121102002153).

It is a junction number, because it is equal to n+sod(n) for n = 101121102002091 and 101121102002100.

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, 3930378228 + ... + 3930403955.

Almost surely, 2^{101121102002112} is an apocalyptic number.

101121102002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121102002112 is an abundant number, since it is smaller than the sum of its proper divisors (170421757761984).

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

101121102002112 is an equidigital number, since it uses as much as digits as its factorization.

101121102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860782265 (or 7860782255 counting only the distinct ones).

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

Adding to 101121102002112 its reverse (211200201121101), we get a palindrome (312321303123213).

The spelling of 101121102002112 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred two million, two thousand, one hundred twelve".