22121024101020 has 144 divisors (see below), whose sum is σ = 72288865932192. Its totient is φ = 5443151639040.

The previous prime is 22121024101009. The next prime is 22121024101037. The reversal of 22121024101020 is 2010142012122.

22121024101020 is a `hidden beast` number, since 2 + 21 + 210 + 2 + 410 + 1 + 0 + 20 = 666.

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 = 22121024100984 and 22121024101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4546435 + ... + 8056805.

It is an arithmetic number, because the mean of its divisors is an integer number (502006013418).

Almost surely, 2^{22121024101020} is an apocalyptic number.

22121024101020 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 22121024101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36144432966096).

22121024101020 is an abundant number, since it is smaller than the sum of its proper divisors (50167841831172).

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

22121024101020 is a wasteful number, since it uses less digits than its factorization.

22121024101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513092 (or 3513087 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121024101020 its reverse (2010142012122), we get a palindrome (24131166113142).

The spelling of 22121024101020 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-four million, one hundred one thousand, twenty".