2001100012101 has 20 divisors (see below), whose sum is σ = 3007197554592. Its totient is φ = 1326078242568.

The previous prime is 2001100012001. The next prime is 2001100012103. The reversal of 2001100012101 is 1012100011002.

It is a happy number.

It is not a de Polignac number, because 2001100012101 - 2⁷ = 2001100011973 is a prime.

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 (2001100012103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73953355 + ... + 73980408.

Almost surely, 2^{2001100012101} is an apocalyptic number.

It is an amenable number.

2001100012101 is a deficient number, since it is larger than the sum of its proper divisors (1006097542491).

2001100012101 is a wasteful number, since it uses less digits than its factorization.

2001100012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147933942 (or 147933933 counting only the distinct ones).

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

Adding to 2001100012101 its reverse (1012100011002), we get a palindrome (3013200023103).

The spelling of 2001100012101 in words is "two trillion, one billion, one hundred million, twelve thousand, one hundred one".