2100200101101 has 6 divisors (see below), whose sum is σ = 3033622368270. Its totient is φ = 1400133400728.

The previous prime is 2100200101061. The next prime is 2100200101121. The reversal of 2100200101101 is 1011010020012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1748226062025 + 351974039076 = 1322205^2 + 593274^2 .

It is not a de Polignac number, because 2100200101101 - 2⁹ = 2100200100589 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: 233355566789 = 2100200101101 / (2 + 1 + 0 + 0 + 2 + 0 + 0 + 1 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100200101121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116677783386 + ... + 116677783403.

It is an arithmetic number, because the mean of its divisors is an integer number (505603728045).

Almost surely, 2^{2100200101101} is an apocalyptic number.

It is an amenable number.

2100200101101 is a deficient number, since it is larger than the sum of its proper divisors (933422267169).

2100200101101 is a wasteful number, since it uses less digits than its factorization.

2100200101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233355566795 (or 233355566792 counting only the distinct ones).

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

Adding to 2100200101101 its reverse (1011010020012), we get a palindrome (3111210121113).

The spelling of 2100200101101 in words is "two trillion, one hundred billion, two hundred million, one hundred one thousand, one hundred one".