21101122110090 has 256 divisors, whose sum is σ = 59150047150080. Its totient is φ = 4768917120000.

The previous prime is 21101122110067. The next prime is 21101122110119. The reversal of 21101122110090 is 9001122110112.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37953531 + ... + 38505489.

It is an arithmetic number, because the mean of its divisors is an integer number (231054871680).

Almost surely, 2^{21101122110090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101122110090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29575023575040).

21101122110090 is an abundant number, since it is smaller than the sum of its proper divisors (38048925039990).

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

21101122110090 is a wasteful number, since it uses less digits than its factorization.

21101122110090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552149.

The product of its (nonzero) digits is 72, while the sum is 21.

It can be divided in two parts, 21101122 and 110090, that added together give a palindrome (21211212).

The spelling of 21101122110090 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, ninety".