2100101112 has 48 divisors (see below), whose sum is σ = 5935073040. Its totient is φ = 669596928.

The previous prime is 2100101111. The next prime is 2100101117. The reversal of 2100101112 is 2111010012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100101094 and 2100101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100101111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632433 + ... + 635744.

It is an arithmetic number, because the mean of its divisors is an integer number (123647355).

Almost surely, 2^2100101112 is an apocalyptic number.

It is an amenable number.

2100101112 is an abundant number, since it is smaller than the sum of its proper divisors (3834971928).

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

2100101112 is a wasteful number, since it uses less digits than its factorization.

2100101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268212 (or 1268205 counting only the distinct ones).

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

The square root of 2100101112 is about 45826.8601586450. The cubic root of 2100101112 is about 1280.5997173434.

Adding to 2100101112 its reverse (2111010012), we get a palindrome (4211111124).

The spelling of 2100101112 in words is "two billion, one hundred million, one hundred one thousand, one hundred twelve".