22101102000 has 240 divisors, whose sum is σ = 77356307808. Its totient is φ = 5881075200.

The previous prime is 22101101993. The next prime is 22101102053. The reversal of 22101102000 is 20110122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22101102000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 11032999 + ... + 11035001.

Almost surely, 2^22101102000 is an apocalyptic number.

22101102000 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 22101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38678153904).

22101102000 is an abundant number, since it is smaller than the sum of its proper divisors (55255205808).

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

22101102000 is a wasteful number, since it uses less digits than its factorization.

22101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22101102000 its reverse (20110122), we get a palindrome (22121212122).

The spelling of 22101102000 in words is "twenty-two billion, one hundred one million, one hundred two thousand".