101012130000 has 800 divisors, whose sum is σ = 391172284800. Its totient is φ = 24855552000.

The previous prime is 101012129987. The next prime is 101012130019. The reversal of 101012130000 is 31210101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 270809814 + ... + 270810186.

It is an arithmetic number, because the mean of its divisors is an integer number (488965356).

Almost surely, 2^101012130000 is an apocalyptic number.

101012130000 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 101012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195586142400).

101012130000 is an abundant number, since it is smaller than the sum of its proper divisors (290160154800).

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

101012130000 is a wasteful number, since it uses less digits than its factorization.

101012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101012130000 its reverse (31210101), we get a palindrome (101043340101).

The spelling of 101012130000 in words is "one hundred one billion, twelve million, one hundred thirty thousand".