1000101012000 has 96 divisors (see below), whose sum is σ = 3276330954624. Its totient is φ = 266693600000.

The previous prime is 1000101011957. The next prime is 1000101012073. The reversal of 1000101012000 is 2101010001.

It is a tau number, because it is divible by the number of its divisors (96).

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 1000101012000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41658876 + ... + 41682875.

It is an arithmetic number, because the mean of its divisors is an integer number (34128447444).

Almost surely, 2^{1000101012000} is an apocalyptic number.

1000101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101012000 is an abundant number, since it is smaller than the sum of its proper divisors (2276229942624).

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

1000101012000 is an equidigital number, since it uses as much as digits as its factorization.

1000101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83341779 (or 83341761 counting only the distinct ones).

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

Adding to 1000101012000 its reverse (2101010001), we get a palindrome (1002202022001).

The spelling of 1000101012000 in words is "one trillion, one hundred one million, twelve thousand".