2022011012100 has 72 divisors (see below), whose sum is σ = 5850585101088. Its totient is φ = 539181440000.

The previous prime is 2022011012093. The next prime is 2022011012107. The reversal of 2022011012100 is 12101102202.

It is an interprime number because it is at equal distance from previous prime (2022011012093) and next prime (2022011012107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2022011012107) 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 23 ways as a sum of consecutive naturals, for example, 8279947 + ... + 8520653.

It is an arithmetic number, because the mean of its divisors is an integer number (81258126404).

Almost surely, 2^{2022011012100} is an apocalyptic number.

2022011012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022011012100 is an abundant number, since it is smaller than the sum of its proper divisors (3828574088988).

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

2022011012100 is a wasteful number, since it uses less digits than its factorization.

2022011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268725 (or 268718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2022011012100 its reverse (12101102202), we get a palindrome (2034112114302).

The spelling of 2022011012100 in words is "two trillion, twenty-two billion, eleven million, twelve thousand, one hundred".