101610900090 has 384 divisors, whose sum is σ = 346307788800. Its totient is φ = 20706554880.

The previous prime is 101610900077. The next prime is 101610900113. The reversal of 101610900090 is 90009016101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10373095 + ... + 10382885.

It is an arithmetic number, because the mean of its divisors is an integer number (901843200).

Almost surely, 2^101610900090 is an apocalyptic number.

101610900090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101610900090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173153894400).

101610900090 is an abundant number, since it is smaller than the sum of its proper divisors (244696888710).

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

101610900090 is a wasteful number, since it uses less digits than its factorization.

101610900090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

Adding to 101610900090 its reverse (90009016101), we get a palindrome (191619916191).

The spelling of 101610900090 in words is "one hundred one billion, six hundred ten million, nine hundred thousand, ninety".