2101001001001 has 12 divisors (see below), whose sum is σ = 2446141344852. Its totient is φ = 1799296063488.

The previous prime is 2101001000993. The next prime is 2101001001019. The reversal of 2101001001001 is 1001001001012.

It can be written as a sum of positive squares in 2 ways, for example, as 1150522245376 + 950478755625 = 1072624^2 + 974925^2 .

It is not a de Polignac number, because 2101001001001 - 2³ = 2101001000993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

2101001001001 is a modest number, since divided by 1001001 gives 2101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2101001001041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18537420 + ... + 18650413.

It is an arithmetic number, because the mean of its divisors is an integer number (203845112071).

Almost surely, 2^{2101001001001} is an apocalyptic number.

It is an amenable number.

2101001001001 is a deficient number, since it is larger than the sum of its proper divisors (345140343851).

2101001001001 is a wasteful number, since it uses less digits than its factorization.

2101001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37189000 (or 37188993 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2101001001001 its reverse (1001001001012), we get a palindrome (3102002002013).

The spelling of 2101001001001 in words is "two trillion, one hundred one billion, one million, one thousand, one".