101322113012010 has 144 divisors (see below), whose sum is σ = 289645968299688. Its totient is φ = 24555943146240.

The previous prime is 101322113011961. The next prime is 101322113012047. The reversal of 101322113012010 is 10210311223101.

101322113012010 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 11 + 301 + 20 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96478579167201 + 4843533844809 = 9822351^2 + 2200803^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36977392 + ... + 39622868.

Almost surely, 2^{101322113012010} is an apocalyptic number.

101322113012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322113012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144822984149844).

101322113012010 is an abundant number, since it is smaller than the sum of its proper divisors (188323855287678).

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

101322113012010 is a wasteful number, since it uses less digits than its factorization.

101322113012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649029 (or 2649015 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101322113012010 its reverse (10210311223101), we get a palindrome (111532424235111).

The spelling of 101322113012010 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirteen million, twelve thousand, ten".