22101220120020 has 192 divisors, whose sum is σ = 65344974428160. Its totient is φ = 5565962304000.

The previous prime is 22101220119973. The next prime is 22101220120081. The reversal of 22101220120020 is 2002102210122.

It is a super-3 number, since 3×22101220120020³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469705495 + ... + 469752545.

It is an arithmetic number, because the mean of its divisors is an integer number (340338408480).

Almost surely, 2^{22101220120020} is an apocalyptic number.

22101220120020 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 22101220120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672487214080).

22101220120020 is an abundant number, since it is smaller than the sum of its proper divisors (43243754308140).

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

22101220120020 is a wasteful number, since it uses less digits than its factorization.

22101220120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48366 (or 48364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22101220120020 its reverse (2002102210122), we get a palindrome (24103322330142).

The spelling of 22101220120020 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred twenty thousand, twenty".