2102101011001 has 4 divisors (see below), whose sum is σ = 2102240321104. Its totient is φ = 2101961700900.

The previous prime is 2102101010951. The next prime is 2102101011041. The reversal of 2102101011001 is 1001101012012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2102101011001 - 2³⁵ = 2067741272633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102101011041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69632415 + ... + 69662596.

It is an arithmetic number, because the mean of its divisors is an integer number (525560080276).

Almost surely, 2^{2102101011001} is an apocalyptic number.

It is an amenable number.

2102101011001 is a deficient number, since it is larger than the sum of its proper divisors (139310103).

2102101011001 is a wasteful number, since it uses less digits than its factorization.

2102101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139310102.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2102101011001 its reverse (1001101012012), we get a palindrome (3103202023013).

The spelling of 2102101011001 in words is "two trillion, one hundred two billion, one hundred one million, eleven thousand, one".