101001105990 has 96 divisors (see below), whose sum is σ = 271222338816. Its totient is φ = 26061295680.

The previous prime is 101001105941. The next prime is 101001105991. The reversal of 101001105990 is 99501100101.

It is a super-2 number, since 2×101001105990² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001105991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292135 + ... + 536045.

It is an arithmetic number, because the mean of its divisors is an integer number (2825232696).

Almost surely, 2^101001105990 is an apocalyptic number.

101001105990 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 101001105990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135611169408).

101001105990 is an abundant number, since it is smaller than the sum of its proper divisors (170221232826).

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

101001105990 is a wasteful number, since it uses less digits than its factorization.

101001105990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244074 (or 244071 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 27.

The spelling of 101001105990 in words is "one hundred one billion, one million, one hundred five thousand, nine hundred ninety".