101312210012202 has 240 divisors, whose sum is σ = 264770603729280. Its totient is φ = 28870494061248.

The previous prime is 101312210012173. The next prime is 101312210012239. The reversal of 101312210012202 is 202210012213101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7882372008 + ... + 7882384860.

It is an arithmetic number, because the mean of its divisors is an integer number (1103210848872).

Almost surely, 2^{101312210012202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312210012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132385301864640).

101312210012202 is an abundant number, since it is smaller than the sum of its proper divisors (163458393717078).

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

101312210012202 is a wasteful number, since it uses less digits than its factorization.

101312210012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15407 (or 15391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101312210012202 its reverse (202210012213101), we get a palindrome (303522222225303).

The spelling of 101312210012202 in words is "one hundred one trillion, three hundred twelve billion, two hundred ten million, twelve thousand, two hundred two".