2101121202201 has 16 divisors (see below), whose sum is σ = 3202275253248. Its totient is φ = 1200428154000.

The previous prime is 2101121202041. The next prime is 2101121202209. The reversal of 2101121202201 is 1022021211012.

It is not a de Polignac number, because 2101121202201 - 2²⁹ = 2100584331289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101121202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8734045 + ... + 8971386.

It is an arithmetic number, because the mean of its divisors is an integer number (200142203328).

Almost surely, 2^{2101121202201} is an apocalyptic number.

2101121202201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101121202201 is a deficient number, since it is larger than the sum of its proper divisors (1101154051047).

2101121202201 is a wasteful number, since it uses less digits than its factorization.

2101121202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711092.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101121202201 its reverse (1022021211012), we get a palindrome (3123142413213).

The spelling of 2101121202201 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred two thousand, two hundred one".