2101121101001 has 8 divisors (see below), whose sum is σ = 2265085779264. Its totient is φ = 1937490705360.

The previous prime is 2101121100983. The next prime is 2101121101039. The reversal of 2101121101001 is 1001011211012.

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 2101121101001 - 2³⁴ = 2083941231817 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 (2101121101061) 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, 83557595 + ... + 83582736.

It is an arithmetic number, because the mean of its divisors is an integer number (283135722408).

Almost surely, 2^{2101121101001} is an apocalyptic number.

It is an amenable number.

2101121101001 is a deficient number, since it is larger than the sum of its proper divisors (163964678263).

2101121101001 is a wasteful number, since it uses less digits than its factorization.

2101121101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167141311.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101121101001 its reverse (1001011211012), we get a palindrome (3102132312013).

The spelling of 2101121101001 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one".