22012021012100 has 288 divisors, whose sum is σ = 56580241132800. Its totient is φ = 7278066432000.

The previous prime is 22012021012031. The next prime is 22012021012103. The reversal of 22012021012100 is 121012021022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22012021012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454647494 + ... + 454695906.

It is an arithmetic number, because the mean of its divisors is an integer number (196459170600).

Almost surely, 2^{22012021012100} is an apocalyptic number.

22012021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28290120566400).

22012021012100 is an abundant number, since it is smaller than the sum of its proper divisors (34568220120700).

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

22012021012100 is a wasteful number, since it uses less digits than its factorization.

22012021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48703 (or 48696 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012021012100 its reverse (121012021022), we get a palindrome (22133033033122).

The spelling of 22012021012100 in words is "twenty-two trillion, twelve billion, twenty-one million, twelve thousand, one hundred".