2102110010001 has 48 divisors (see below), whose sum is σ = 3163072872960. Its totient is φ = 1343640614400.

The previous prime is 2102110009939. The next prime is 2102110010003. The reversal of 2102110010001 is 1000100112012.

It is a happy number.

It is not a de Polignac number, because 2102110010001 - 2²³ = 2102101621393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2102110010003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23294370 + ... + 23384436.

It is an arithmetic number, because the mean of its divisors is an integer number (65897351520).

Almost surely, 2^{2102110010001} is an apocalyptic number.

It is an amenable number.

2102110010001 is a deficient number, since it is larger than the sum of its proper divisors (1060962862959).

2102110010001 is a wasteful number, since it uses less digits than its factorization.

2102110010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90726 (or 90723 counting only the distinct ones).

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

Adding to 2102110010001 its reverse (1000100112012), we get a palindrome (3102210122013).

The spelling of 2102110010001 in words is "two trillion, one hundred two billion, one hundred ten million, ten thousand, one".