2101001012001 has 48 divisors (see below), whose sum is σ = 3259383528960. Its totient is φ = 1301123640960.

The previous prime is 2101001011987. The next prime is 2101001012003. The reversal of 2101001012001 is 1002101001012.

It is a happy number.

It is not a de Polignac number, because 2101001012001 - 2⁵ = 2101001011969 is a prime.

It is a super-2 number, since 2×2101001012001² (a number of 25 digits) contains 22 as substring.

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 (2101001012003) 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, 55566 + ... + 2050631.

It is an arithmetic number, because the mean of its divisors is an integer number (67903823520).

Almost surely, 2^{2101001012001} is an apocalyptic number.

It is an amenable number.

2101001012001 is a deficient number, since it is larger than the sum of its proper divisors (1158382516959).

2101001012001 is a wasteful number, since it uses less digits than its factorization.

2101001012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106366 (or 2106363 counting only the distinct ones).

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

Adding to 2101001012001 its reverse (1002101001012), we get a palindrome (3103102013013).

The spelling of 2101001012001 in words is "two trillion, one hundred one billion, one million, twelve thousand, one".