22101010100988 has 384 divisors, whose sum is σ = 65957365856256. Its totient is φ = 5604318720000.

The previous prime is 22101010100987. The next prime is 22101010101007. The reversal of 22101010100988 is 88900101010122.

22101010100988 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22101010100988² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101010100987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2232194838 + ... + 2232204738.

It is an arithmetic number, because the mean of its divisors is an integer number (171763973584).

Almost surely, 2^{22101010100988} is an apocalyptic number.

22101010100988 is a gapful number since it is divisible by the number (28) 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 22101010100988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32978682928128).

22101010100988 is an abundant number, since it is smaller than the sum of its proper divisors (43856355755268).

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

22101010100988 is a wasteful number, since it uses less digits than its factorization.

22101010100988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 22101010100988 in words is "twenty-two trillion, one hundred one billion, ten million, one hundred thousand, nine hundred eighty-eight".