2102100101001 has 6 divisors (see below), whose sum is σ = 3036366812570. Its totient is φ = 1401400067328.

The previous prime is 2102100100967. The next prime is 2102100101009. The reversal of 2102100101001 is 1001010012012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1937121158025 + 164978942976 = 1391805^2 + 406176^2 .

It is not a de Polignac number, because 2102100101001 - 2¹¹ = 2102100098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233566677889 = 2102100101001 / (2 + 1 + 0 + 2 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102100101009) 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 5 ways as a sum of consecutive naturals, for example, 116783338936 + ... + 116783338953.

Almost surely, 2^{2102100101001} is an apocalyptic number.

It is an amenable number.

2102100101001 is a deficient number, since it is larger than the sum of its proper divisors (934266711569).

2102100101001 is a wasteful number, since it uses less digits than its factorization.

2102100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233566677895 (or 233566677892 counting only the distinct ones).

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

Adding to 2102100101001 its reverse (1001010012012), we get a palindrome (3103110113013).

The spelling of 2102100101001 in words is "two trillion, one hundred two billion, one hundred million, one hundred one thousand, one".