101022211320 has 128 divisors (see below), whose sum is σ = 304105536000. Its totient is φ = 26847106560.

The previous prime is 101022211313. The next prime is 101022211321. The reversal of 101022211320 is 23112220101.

It is a super-2 number, since 2×101022211320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101022211320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62320110 + ... + 62321730.

It is an arithmetic number, because the mean of its divisors is an integer number (2375824500).

Almost surely, 2^101022211320 is an apocalyptic number.

101022211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022211320 is an abundant number, since it is smaller than the sum of its proper divisors (203083324680).

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

101022211320 is a wasteful number, since it uses less digits than its factorization.

101022211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101022211320 its reverse (23112220101), we get a palindrome (124134431421).

The spelling of 101022211320 in words is "one hundred one billion, twenty-two million, two hundred eleven thousand, three hundred twenty".