2301220022100 has 144 divisors (see below), whose sum is σ = 6941588334912. Its totient is φ = 588078167040.

The previous prime is 2301220022021. The next prime is 2301220022107. The reversal of 2301220022100 is 12200221032.

It is a happy number.

It is a super-2 number, since 2×2301220022100² (a number of 26 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 2301220022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301220022107) by changing a digit.

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, 999217 + ... + 2366616.

It is an arithmetic number, because the mean of its divisors is an integer number (48205474548).

Almost surely, 2^{2301220022100} is an apocalyptic number.

2301220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301220022100 is an abundant number, since it is smaller than the sum of its proper divisors (4640368312812).

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

2301220022100 is a wasteful number, since it uses less digits than its factorization.

2301220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365946 (or 3365939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2301220022100 its reverse (12200221032), we get a palindrome (2313420243132).

The spelling of 2301220022100 in words is "two trillion, three hundred one billion, two hundred twenty million, twenty-two thousand, one hundred".