101020303311200 has 576 divisors, whose sum is σ = 305833077430272. Its totient is φ = 31728789504000.

The previous prime is 101020303311199. The next prime is 101020303311253. The reversal of 101020303311200 is 2113303020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13114406549 + ... + 13114414251.

It is an arithmetic number, because the mean of its divisors is an integer number (530960203872).

Almost surely, 2^{101020303311200} is an apocalyptic number.

101020303311200 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 101020303311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152916538715136).

101020303311200 is an abundant number, since it is smaller than the sum of its proper divisors (204812774119072).

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

101020303311200 is a wasteful number, since it uses less digits than its factorization.

101020303311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101020303311200 its reverse (2113303020101), we get a palindrome (103133606331301).

The spelling of 101020303311200 in words is "one hundred one trillion, twenty billion, three hundred three million, three hundred eleven thousand, two hundred".