101311161808780 has 192 divisors, whose sum is σ = 268550833259520. Its totient is φ = 31186661990400.

The previous prime is 101311161808751. The next prime is 101311161808789. The reversal of 101311161808780 is 87808161113101.

It is a self number, because there is not a number n which added to its sum of digits gives 101311161808780.

It is not an unprimeable number, because it can be changed into a prime (101311161808789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47863711 + ... + 49935529.

It is an arithmetic number, because the mean of its divisors is an integer number (1398702256560).

Almost surely, 2^{101311161808780} is an apocalyptic number.

101311161808780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311161808780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134275416629760).

101311161808780 is an abundant number, since it is smaller than the sum of its proper divisors (167239671450740).

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

101311161808780 is a wasteful number, since it uses less digits than its factorization.

101311161808780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072240 (or 2072238 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 46.

The spelling of 101311161808780 in words is "one hundred one trillion, three hundred eleven billion, one hundred sixty-one million, eight hundred eight thousand, seven hundred eighty".