101331002112208 has 240 divisors, whose sum is σ = 220627178956800. Its totient is φ = 45040323328000.

The previous prime is 101331002112181. The next prime is 101331002112247. The reversal of 101331002112208 is 802211200133101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39753236118 + ... + 39753238666.

It is an arithmetic number, because the mean of its divisors is an integer number (919279912320).

Almost surely, 2^{101331002112208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101331002112208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110313589478400).

101331002112208 is an abundant number, since it is smaller than the sum of its proper divisors (119296176844592).

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

101331002112208 is a wasteful number, since it uses less digits than its factorization.

101331002112208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 101331002112208 its reverse (802211200133101), we get a palindrome (903542202245309).

The spelling of 101331002112208 in words is "one hundred one trillion, three hundred thirty-one billion, two million, one hundred twelve thousand, two hundred eight".