2102101012001 has 8 divisors (see below), whose sum is σ = 2117013712800. Its totient is φ = 2087212901472.

The previous prime is 2102101011977. The next prime is 2102101012003. The reversal of 2102101012001 is 1002101012012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2102101012001 - 2⁶ = 2102101011937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102101012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5975975 + ... + 6317948.

It is an arithmetic number, because the mean of its divisors is an integer number (264626714100).

Almost surely, 2^{2102101012001} is an apocalyptic number.

It is an amenable number.

2102101012001 is a deficient number, since it is larger than the sum of its proper divisors (14912700799).

2102101012001 is a wasteful number, since it uses less digits than its factorization.

2102101012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295135.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102101012001 its sum of digits (11), we get a palindrome (2102101012012).

Adding to 2102101012001 its reverse (1002101012012), we get a palindrome (3104202024013).

The spelling of 2102101012001 in words is "two trillion, one hundred two billion, one hundred one million, twelve thousand, one".