101131120002000 has 960 divisors, whose sum is σ = 363120676289280. Its totient is φ = 24012177408000.

The previous prime is 101131120001987. The next prime is 101131120002047. The reversal of 101131120002000 is 200021131101.

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 191 ways as a sum of consecutive naturals, for example, 67918817256 + ... + 67918818744.

It is an arithmetic number, because the mean of its divisors is an integer number (378250704468).

Almost surely, 2^{101131120002000} is an apocalyptic number.

101131120002000 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 101131120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560338144640).

101131120002000 is an abundant number, since it is smaller than the sum of its proper divisors (261989556287280).

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

101131120002000 is a wasteful number, since it uses less digits than its factorization.

101131120002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1710 counting only the distinct ones).

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

Adding to 101131120002000 its reverse (200021131101), we get a palindrome (101331141133101).

The spelling of 101131120002000 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred twenty million, two thousand".