101322010013220 has 144 divisors (see below), whose sum is σ = 318904135416048. Its totient is φ = 26017933639680.

The previous prime is 101322010013201. The next prime is 101322010013251. The reversal of 101322010013220 is 22310010223101.

101322010013220 is a `hidden beast` number, since 10 + 1 + 322 + 0 + 10 + 0 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4133446815744 + 97188563197476 = 2033088^2 + 9858426^2 .

It is a super-2 number, since 2×101322010013220² (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 a junction number, because it is equal to n+sod(n) for n = 101322010013193 and 101322010013202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77774161 + ... + 79066200.

Almost surely, 2^{101322010013220} is an apocalyptic number.

101322010013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322010013220 is an abundant number, since it is smaller than the sum of its proper divisors (217582125402828).

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

101322010013220 is a wasteful number, since it uses less digits than its factorization.

101322010013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156840510 (or 156840505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101322010013220 its reverse (22310010223101), we get a palindrome (123632020236321).

The spelling of 101322010013220 in words is "one hundred one trillion, three hundred twenty-two billion, ten million, thirteen thousand, two hundred twenty".