2100201101001 has 16 divisors (see below), whose sum is σ = 3111622427520. Its totient is φ = 1400038042320.

The previous prime is 2100201100997. The next prime is 2100201101041. The reversal of 2100201101001 is 1001011020012.

It is a happy number.

It is not a de Polignac number, because 2100201101001 - 2² = 2100201100997 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 (2100201101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265285 + ... + 3054818.

It is an arithmetic number, because the mean of its divisors is an integer number (194476401720).

Almost surely, 2^{2100201101001} is an apocalyptic number.

It is an amenable number.

2100201101001 is a deficient number, since it is larger than the sum of its proper divisors (1011421326519).

2100201101001 is a wasteful number, since it uses less digits than its factorization.

2100201101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334733 (or 5334727 counting only the distinct ones).

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

Adding to 2100201101001 its reverse (1001011020012), we get a palindrome (3101212121013).

The spelling of 2100201101001 in words is "two trillion, one hundred billion, two hundred one million, one hundred one thousand, one".