20221110212100 has 288 divisors, whose sum is σ = 70827682738176. Its totient is φ = 4348243814400.

The previous prime is 20221110212087. The next prime is 20221110212113. The reversal of 20221110212100 is 121201112202.

It is an interprime number because it is at equal distance from previous prime (20221110212087) and next prime (20221110212113).

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 20221110212100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84954255 + ... + 85191945.

It is an arithmetic number, because the mean of its divisors is an integer number (245929453952).

Almost surely, 2^{20221110212100} is an apocalyptic number.

20221110212100 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 20221110212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35413841369088).

20221110212100 is an abundant number, since it is smaller than the sum of its proper divisors (50606572526076).

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

20221110212100 is a wasteful number, since it uses less digits than its factorization.

20221110212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240115 (or 240108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20221110212100 its reverse (121201112202), we get a palindrome (20342311324302).

The spelling of 20221110212100 in words is "twenty trillion, two hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one hundred".