2010010010100 has 72 divisors (see below), whose sum is σ = 5895295176960. Its totient is φ = 528660161280.

The previous prime is 2010010010023. The next prime is 2010010010101. The reversal of 2010010010100 is 10100100102.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010010010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45868740 + ... + 45912539.

It is an arithmetic number, because the mean of its divisors is an integer number (81879099680).

Almost surely, 2^{2010010010100} is an apocalyptic number.

2010010010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010010010100 is an abundant number, since it is smaller than the sum of its proper divisors (3885285166860).

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

2010010010100 is a wasteful number, since it uses less digits than its factorization.

2010010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91781369 (or 91781362 counting only the distinct ones).

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

Adding to 2010010010100 its reverse (10100100102), we get a palindrome (2020110110202).

The spelling of 2010010010100 in words is "two trillion, ten billion, ten million, ten thousand, one hundred".