22102020096 has 312 divisors, whose sum is σ = 66193764480. Its totient is φ = 6548226048.

The previous prime is 22102020079. The next prime is 22102020097. The reversal of 22102020096 is 69002020122.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22102020097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60223305 + ... + 60223671.

Almost surely, 2^22102020096 is an apocalyptic number.

22102020096 is a gapful number since it is divisible by the number (26) 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 22102020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096882240).

22102020096 is an abundant number, since it is smaller than the sum of its proper divisors (44091744384).

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

22102020096 is a wasteful number, since it uses less digits than its factorization.

22102020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 22102020096 in words is "twenty-two billion, one hundred two million, twenty thousand, ninety-six".