1010112002000 has 40 divisors (see below), whose sum is σ = 2442450825672. Its totient is φ = 404044800000.

The previous prime is 1010112001957. The next prime is 1010112002017. The reversal of 1010112002000 is 2002110101.

It can be written as a sum of positive squares in 4 ways, for example, as 260924812864 + 749187189136 = 510808^2 + 865556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252526001 + ... + 252530000.

Almost surely, 2^{1010112002000} is an apocalyptic number.

1010112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112002000 is an abundant number, since it is smaller than the sum of its proper divisors (1432338823672).

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

1010112002000 is an equidigital number, since it uses as much as digits as its factorization.

1010112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505056024 (or 505056008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010112002000 its reverse (2002110101), we get a palindrome (1012114112101).

The spelling of 1010112002000 in words is "one trillion, ten billion, one hundred twelve million, two thousand".