2011100210100 has 108 divisors (see below), whose sum is σ = 6304034536800. Its totient is φ = 536263387200.

The previous prime is 2011100210089. The next prime is 2011100210113. The reversal of 2011100210100 is 10120011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19398201 + ... + 19501599.

Almost surely, 2^{2011100210100} is an apocalyptic number.

2011100210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011100210100 is an abundant number, since it is smaller than the sum of its proper divisors (4292934326700).

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

2011100210100 is a wasteful number, since it uses less digits than its factorization.

2011100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125030 (or 125020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011100210100 its reverse (10120011102), we get a palindrome (2021220221202).

The spelling of 2011100210100 in words is "two trillion, eleven billion, one hundred million, two hundred ten thousand, one hundred".