101031012312000 has 448 divisors, whose sum is σ = 341822198914560. Its totient is φ = 26278253568000.

The previous prime is 101031012311963. The next prime is 101031012312001. The reversal of 101031012312000 is 213210130101.

It is a happy number.

101031012312000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031012312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5332286527 + ... + 5332305473.

It is an arithmetic number, because the mean of its divisors is an integer number (762995979720).

Almost surely, 2^{101031012312000} is an apocalyptic number.

101031012312000 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 101031012312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170911099457280).

101031012312000 is an abundant number, since it is smaller than the sum of its proper divisors (240791186602560).

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

101031012312000 is a wasteful number, since it uses less digits than its factorization.

101031012312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24437 (or 24417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101031012312000 its reverse (213210130101), we get a palindrome (101244222442101).

The spelling of 101031012312000 in words is "one hundred one trillion, thirty-one billion, twelve million, three hundred twelve thousand".