101231330200000 has 1344 divisors, whose sum is σ = 340287420211200. Its totient is φ = 28852070400000.

The previous prime is 101231330199977. The next prime is 101231330200043. The reversal of 101231330200000 is 2033132101.

It is a super-2 number, since 2×101231330200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21821797681 + ... + 21821802319.

It is an arithmetic number, because the mean of its divisors is an integer number (253190044800).

Almost surely, 2^{101231330200000} is an apocalyptic number.

101231330200000 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 101231330200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170143710105600).

101231330200000 is an abundant number, since it is smaller than the sum of its proper divisors (239056090011200).

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

101231330200000 is a wasteful number, since it uses less digits than its factorization.

101231330200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101231330200000 its reverse (2033132101), we get a palindrome (101233363332101).

The spelling of 101231330200000 in words is "one hundred one trillion, two hundred thirty-one billion, three hundred thirty million, two hundred thousand".