101001210120112 has 80 divisors (see below), whose sum is σ = 205979454185472. Its totient is φ = 47884171991040.

The previous prime is 101001210120073. The next prime is 101001210120113. The reversal of 101001210120112 is 211021012100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101001210120092 and 101001210120101.

It is not an unprimeable number, because it can be changed into a prime (101001210120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54565312 + ... + 56385952.

Almost surely, 2^{101001210120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001210120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102989727092736).

101001210120112 is an abundant number, since it is smaller than the sum of its proper divisors (104978244065360).

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

101001210120112 is a wasteful number, since it uses less digits than its factorization.

101001210120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821986 (or 1821980 counting only the distinct ones).

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

Adding to 101001210120112 its reverse (211021012100101), we get a palindrome (312022222220213).

The spelling of 101001210120112 in words is "one hundred one trillion, one billion, two hundred ten million, one hundred twenty thousand, one hundred twelve".