101040090822 has 128 divisors (see below), whose sum is σ = 251215050240. Its totient is φ = 29837808000.

The previous prime is 101040090797. The next prime is 101040090857. The reversal of 101040090822 is 228090040101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11770572 + ... + 11779152.

It is an arithmetic number, because the mean of its divisors is an integer number (1962617580).

Almost surely, 2^101040090822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101040090822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125607525120).

101040090822 is an abundant number, since it is smaller than the sum of its proper divisors (150174959418).

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

101040090822 is a wasteful number, since it uses less digits than its factorization.

101040090822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 101040090822 in words is "one hundred one billion, forty million, ninety thousand, eight hundred twenty-two".