2100101102201 has 8 divisors (see below), whose sum is σ = 2244036797640. Its totient is φ = 1958432110848.

The previous prime is 2100101102191. The next prime is 2100101102233. The reversal of 2100101102201 is 1022011010012.

It can be written as a sum of positive squares in 4 ways, for example, as 1151082223225 + 949018878976 = 1072885^2 + 974176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-2100101102201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100101101201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566674106 + ... + 566677811.

It is an arithmetic number, because the mean of its divisors is an integer number (280504599705).

Almost surely, 2^{2100101102201} is an apocalyptic number.

It is an amenable number.

2100101102201 is a deficient number, since it is larger than the sum of its proper divisors (143935695439).

2100101102201 is a wasteful number, since it uses less digits than its factorization.

2100101102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133352043.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100101102201 its reverse (1022011010012), we get a palindrome (3122112112213).

The spelling of 2100101102201 in words is "two trillion, one hundred billion, one hundred one million, one hundred two thousand, two hundred one".