2010010201000 has 64 divisors (see below), whose sum is σ = 4703678254080. Its totient is φ = 803960596800.

The previous prime is 2010010200973. The next prime is 2010010201027. The reversal of 2010010201000 is 1020100102.

It is an interprime number because it is at equal distance from previous prime (2010010200973) and next prime (2010010201027).

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, 23580457 + ... + 23665543.

It is an arithmetic number, because the mean of its divisors is an integer number (73494972720).

Almost surely, 2^{2010010201000} is an apocalyptic number.

2010010201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010010201000 is an abundant number, since it is smaller than the sum of its proper divisors (2693668053080).

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

2010010201000 is a wasteful number, since it uses less digits than its factorization.

2010010201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108731 (or 108717 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2010010201000 its reverse (1020100102), we get a palindrome (2011030301102).

The spelling of 2010010201000 in words is "two trillion, ten billion, ten million, two hundred one thousand".