22120101110100 has 864 divisors, whose sum is σ = 79698695623680. Its totient is φ = 4722807720960.

The previous prime is 22120101110099. The next prime is 22120101110101. The reversal of 22120101110100 is 101110102122.

It is an interprime number because it is at equal distance from previous prime (22120101110099) and next prime (22120101110101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120101110101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6993391119 + ... + 6993394281.

Almost surely, 2^{22120101110100} is an apocalyptic number.

22120101110100 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 22120101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39849347811840).

22120101110100 is an abundant number, since it is smaller than the sum of its proper divisors (57578594513580).

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

22120101110100 is a wasteful number, since it uses less digits than its factorization.

22120101110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22120101110100 its reverse (101110102122), we get a palindrome (22221211212222).

The spelling of 22120101110100 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred ten thousand, one hundred".