2100012110100 has 72 divisors (see below), whose sum is σ = 6751150051520. Its totient is φ = 560003228640.

The previous prime is 2100012110089. The next prime is 2100012110101. The reversal of 2100012110100 is 10112100012.

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 not an unprimeable number, because it can be changed into a prime (2100012110101) 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, 388888432 + ... + 388893831.

Almost surely, 2^{2100012110100} is an apocalyptic number.

2100012110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100012110100 is an abundant number, since it is smaller than the sum of its proper divisors (4651137941420).

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

2100012110100 is a wasteful number, since it uses less digits than its factorization.

2100012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777782286 (or 777782273 counting only the distinct ones).

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

Adding to 2100012110100 its reverse (10112100012), we get a palindrome (2110124210112).

The spelling of 2100012110100 in words is "two trillion, one hundred billion, twelve million, one hundred ten thousand, one hundred".