101001222002112 has 56 divisors (see below), whose sum is σ = 275852799892992. Its totient is φ = 32581039353600.

The previous prime is 101001222002111. The next prime is 101001222002209. The reversal of 101001222002112 is 211200222100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001222002091 and 101001222002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001222002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8484639714 + ... + 8484651617.

It is an arithmetic number, because the mean of its divisors is an integer number (4925942855232).

Almost surely, 2^{101001222002112} is an apocalyptic number.

101001222002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001222002112 is an abundant number, since it is smaller than the sum of its proper divisors (174851577890880).

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

101001222002112 is a wasteful number, since it uses less digits than its factorization.

101001222002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969291377 (or 16969291367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101001222002112 its reverse (211200222100101), we get a palindrome (312201444102213).

The spelling of 101001222002112 in words is "one hundred one trillion, one billion, two hundred twenty-two million, two thousand, one hundred twelve".