2102101211001 has 24 divisors (see below), whose sum is σ = 3081174449472. Its totient is φ = 1273831583200.

The previous prime is 2102101210997. The next prime is 2102101211033. The reversal of 2102101211001 is 1001121012012.

It is not a de Polignac number, because 2102101211001 - 2² = 2102101210997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102101211071) 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, 2380711 + ... + 3141971.

It is an arithmetic number, because the mean of its divisors is an integer number (128382268728).

Almost surely, 2^{2102101211001} is an apocalyptic number.

It is an amenable number.

2102101211001 is a deficient number, since it is larger than the sum of its proper divisors (979073238471).

2102101211001 is a wasteful number, since it uses less digits than its factorization.

2102101211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768893 (or 768882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102101211001 its reverse (1001121012012), we get a palindrome (3103222223013).

The spelling of 2102101211001 in words is "two trillion, one hundred two billion, one hundred one million, two hundred eleven thousand, one".