101260170811800 has 5184 divisors, whose sum is σ = 488914778701440. Its totient is φ = 18586965196800.

The previous prime is 101260170811769. The next prime is 101260170811817. The reversal of 101260170811800 is 8118071062101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 345597852454 + ... + 345597852746.

It is an arithmetic number, because the mean of its divisors is an integer number (94312264410).

Almost surely, 2^{101260170811800} is an apocalyptic number.

101260170811800 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 101260170811800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244457389350720).

101260170811800 is an abundant number, since it is smaller than the sum of its proper divisors (387654607889640).

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

101260170811800 is a wasteful number, since it uses less digits than its factorization.

101260170811800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 101260170811800 in words is "one hundred one trillion, two hundred sixty billion, one hundred seventy million, eight hundred eleven thousand, eight hundred".