101321220311010 has 48 divisors (see below), whose sum is σ = 301068768926016. Its totient is φ = 23159136070944.

The previous prime is 101321220310997. The next prime is 101321220311023. The reversal of 101321220311010 is 10113022123101.

101321220311010 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 2 + 20 + 311 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (101321220310997) and next prime (101321220311023).

It is a super-2 number, since 2×101321220311010² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 80413666284 + ... + 80413667543.

It is an arithmetic number, because the mean of its divisors is an integer number (6272266019292).

Almost surely, 2^{101321220311010} is an apocalyptic number.

101321220311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101321220311010 is an abundant number, since it is smaller than the sum of its proper divisors (199747548615006).

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

101321220311010 is a wasteful number, since it uses less digits than its factorization.

101321220311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160827333847 (or 160827333844 counting only the distinct ones).

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

Adding to 101321220311010 its reverse (10113022123101), we get a palindrome (111434242434111).

The spelling of 101321220311010 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred eleven thousand, ten".