20122211022100 has 288 divisors, whose sum is σ = 48381814615680. Its totient is φ = 7203390720000.

The previous prime is 20122211022097. The next prime is 20122211022101. The reversal of 20122211022100 is 122011222102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122211022101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20182758802 + ... + 20182759798.

It is an arithmetic number, because the mean of its divisors is an integer number (167992411860).

Almost surely, 2^{20122211022100} is an apocalyptic number.

20122211022100 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 20122211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190907307840).

20122211022100 is an abundant number, since it is smaller than the sum of its proper divisors (28259603593580).

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

20122211022100 is a wasteful number, since it uses less digits than its factorization.

20122211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122211022100 its reverse (122011222102), we get a palindrome (20244222244202).

The spelling of 20122211022100 in words is "twenty trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, one hundred".