101311021110000 has 400 divisors, whose sum is σ = 372920667112224. Its totient is φ = 23471149056000.

The previous prime is 101311021109993. The next prime is 101311021110041. The reversal of 101311021110000 is 11120113101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1010349 + ... + 14270348.

Almost surely, 2^{101311021110000} is an apocalyptic number.

101311021110000 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 101311021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186460333556112).

101311021110000 is an abundant number, since it is smaller than the sum of its proper divisors (271609646002224).

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

101311021110000 is a wasteful number, since it uses less digits than its factorization.

101311021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280758 (or 15280737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101311021110000 its reverse (11120113101), we get a palindrome (101322141223101).

The spelling of 101311021110000 in words is "one hundred one trillion, three hundred eleven billion, twenty-one million, one hundred ten thousand".