101202001202112 has 112 divisors (see below), whose sum is σ = 272364142291200. Its totient is φ = 33154669066240.

The previous prime is 101202001202089. The next prime is 101202001202173. The reversal of 101202001202112 is 211202100202101.

It is a junction number, because it is equal to n+sod(n) for n = 101202001202091 and 101202001202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48723964 + ... + 50758532.

Almost surely, 2^{101202001202112} is an apocalyptic number.

101202001202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202001202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182071145600).

101202001202112 is an abundant number, since it is smaller than the sum of its proper divisors (171162141089088).

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

101202001202112 is a wasteful number, since it uses less digits than its factorization.

101202001202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039034 (or 2039024 counting only the distinct ones).

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

Adding to 101202001202112 its reverse (211202100202101), we get a palindrome (312404101404213).

The spelling of 101202001202112 in words is "one hundred one trillion, two hundred two billion, one million, two hundred two thousand, one hundred twelve".