90821100000101 has 8 divisors (see below), whose sum is σ = 93964268515320. Its totient is φ = 87678691914688.

The previous prime is 90821100000031. The next prime is 90821100000107. The reversal of 90821100000101 is 10100000112809.

It can be written as a sum of positive squares in 4 ways, for example, as 43776947452225 + 47044152547876 = 6616415^2 + 6858874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-90821100000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90821100000107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189864446 + ... + 190342191.

It is an arithmetic number, because the mean of its divisors is an integer number (11745533564415).

Almost surely, 2^{90821100000101} is an apocalyptic number.

It is an amenable number.

90821100000101 is a deficient number, since it is larger than the sum of its proper divisors (3143168515219).

90821100000101 is a wasteful number, since it uses less digits than its factorization.

90821100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380214903.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 90821100000101 in words is "ninety trillion, eight hundred twenty-one billion, one hundred million, one hundred one", and thus it is an aban number.