1000100112000 has 1024 divisors, whose sum is σ = 3841182259200. Its totient is φ = 227635200000.

The previous prime is 1000100111971. The next prime is 1000100112013. The reversal of 1000100112000 is 2110010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100112000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1314191620 + ... + 1314192380.

It is an arithmetic number, because the mean of its divisors is an integer number (3751154550).

Almost surely, 2^{1000100112000} is an apocalyptic number.

1000100112000 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 1000100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920591129600).

1000100112000 is an abundant number, since it is smaller than the sum of its proper divisors (2841082147200).

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

1000100112000 is a wasteful number, since it uses less digits than its factorization.

1000100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000100112000 its reverse (2110010001), we get a palindrome (1002210122001).

The spelling of 1000100112000 in words is "one trillion, one hundred million, one hundred twelve thousand".