2011000010100 has 72 divisors (see below), whose sum is σ = 5820201129120. Its totient is φ = 536109271680.

The previous prime is 2011000010083. The next prime is 2011000010119. The reversal of 2011000010100 is 10100001102.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41871 + ... + 2005929.

Almost surely, 2^{2011000010100} is an apocalyptic number.

2011000010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000010100 is an abundant number, since it is smaller than the sum of its proper divisors (3809201119020).

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

2011000010100 is a wasteful number, since it uses less digits than its factorization.

2011000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967489 (or 1967482 counting only the distinct ones).

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

Adding to 2011000010100 its reverse (10100001102), we get a palindrome (2021100011202).

The spelling of 2011000010100 in words is "two trillion, eleven billion, ten thousand, one hundred".