2100211001001 has 48 divisors (see below), whose sum is σ = 3160863473040. Its totient is φ = 1342623744000.

The previous prime is 2100211000949. The next prime is 2100211001023. The reversal of 2100211001001 is 1001001120012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1011183091776 + 1089027909225 = 1005576^2 + 1043565^2 .

It is not a de Polignac number, because 2100211001001 - 2¹¹ = 2100210998953 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 (2100211000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31682071 + ... + 31748291.

It is an arithmetic number, because the mean of its divisors is an integer number (65851322355).

Almost surely, 2^{2100211001001} is an apocalyptic number.

It is an amenable number.

2100211001001 is a deficient number, since it is larger than the sum of its proper divisors (1060652472039).

2100211001001 is a wasteful number, since it uses less digits than its factorization.

2100211001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738 (or 67735 counting only the distinct ones).

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

Adding to 2100211001001 its reverse (1001001120012), we get a palindrome (3101212121013).

The spelling of 2100211001001 in words is "two trillion, one hundred billion, two hundred eleven million, one thousand, one".