2101121221001 has 8 divisors (see below), whose sum is σ = 2299362945984. Its totient is φ = 1904084613520.

The previous prime is 2101121220983. The next prime is 2101121221007. The reversal of 2101121221001 is 1001221211012.

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

It is a cyclic number.

It is not a de Polignac number, because 2101121221001 - 2³⁰ = 2100047479177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101121221007) 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, 301275725 + ... + 301282698.

It is an arithmetic number, because the mean of its divisors is an integer number (287420368248).

Almost surely, 2^{2101121221001} is an apocalyptic number.

It is an amenable number.

2101121221001 is a deficient number, since it is larger than the sum of its proper divisors (198241724983).

2101121221001 is a wasteful number, since it uses less digits than its factorization.

2101121221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602558751.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101121221001 its reverse (1001221211012), we get a palindrome (3102342432013).

It can be divided in two parts, 210 and 1121221001, that added together give a palindrome (1121221211).

The spelling of 2101121221001 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one".