2100101102001 has 12 divisors (see below), whose sum is σ = 3466833565312. Its totient is φ = 1200057772536.

The previous prime is 2100101101927. The next prime is 2100101102003. The reversal of 2100101102001 is 1002011010012.

It is a happy number.

It is not a de Polignac number, because 2100101102001 - 2⁷ = 2100101101873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100101102003) 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, 16667469001 + ... + 16667469126.

Almost surely, 2^{2100101102001} is an apocalyptic number.

2100101102001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100101102001 is a deficient number, since it is larger than the sum of its proper divisors (1366732463311).

2100101102001 is a wasteful number, since it uses less digits than its factorization.

2100101102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33334938140 (or 33334938137 counting only the distinct ones).

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

Adding to 2100101102001 its reverse (1002011010012), we get a palindrome (3102112112013).

The spelling of 2100101102001 in words is "two trillion, one hundred billion, one hundred one million, one hundred two thousand, one".