101030100312000 has 448 divisors, whose sum is σ = 336059596274688. Its totient is φ = 26743104000000.

The previous prime is 101030100311869. The next prime is 101030100312061. The reversal of 101030100312000 is 213001030101.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5258414394 + ... + 5258433606.

Almost surely, 2^{101030100312000} is an apocalyptic number.

101030100312000 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 101030100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168029798137344).

101030100312000 is an abundant number, since it is smaller than the sum of its proper divisors (235029495962688).

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

101030100312000 is a wasteful number, since it uses less digits than its factorization.

101030100312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20845 (or 20825 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101030100312000 its reverse (213001030101), we get a palindrome (101243101342101).

The spelling of 101030100312000 in words is "one hundred one trillion, thirty billion, one hundred million, three hundred twelve thousand".