2010001001000 has 64 divisors (see below), whose sum is σ = 4980073110480. Its totient is φ = 756706252800.

The previous prime is 2010001000993. The next prime is 2010001001027. The reversal of 2010001001000 is 1001000102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 840276555556 + 1169724445444 = 916666^2 + 1081538^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59100677 + ... + 59134676.

Almost surely, 2^{2010001001000} is an apocalyptic number.

2010001001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010001001000 is an abundant number, since it is smaller than the sum of its proper divisors (2970072109480).

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

2010001001000 is a wasteful number, since it uses less digits than its factorization.

2010001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118235391 (or 118235377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2010001001000 its reverse (1001000102), we get a palindrome (2011002001102).

The spelling of 2010001001000 in words is "two trillion, ten billion, one million, one thousand".