101079950790 has 256 divisors, whose sum is σ = 321605222400. Its totient is φ = 19733995008.

The previous prime is 101079950789. The next prime is 101079950791. The reversal of 101079950790 is 97059970101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101079950789) and next prime (101079950791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101079950791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2207751 + ... + 2253069.

It is an arithmetic number, because the mean of its divisors is an integer number (1256270400).

Almost surely, 2^101079950790 is an apocalyptic number.

101079950790 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 101079950790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160802611200).

101079950790 is an abundant number, since it is smaller than the sum of its proper divisors (220525271610).

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

101079950790 is a wasteful number, since it uses less digits than its factorization.

101079950790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45411.

The product of its (nonzero) digits is 178605, while the sum is 48.

The spelling of 101079950790 in words is "one hundred one billion, seventy-nine million, nine hundred fifty thousand, seven hundred ninety".