2101001101121 has 16 divisors (see below), whose sum is σ = 2265847660608. Its totient is φ = 1936617076800.

The previous prime is 2101001101117. The next prime is 2101001101123. The reversal of 2101001101121 is 1211011001012.

It is a cyclic number.

It is not a de Polignac number, because 2101001101121 - 2² = 2101001101117 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 (2101001101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64201055 + ... + 64233771.

It is an arithmetic number, because the mean of its divisors is an integer number (141615478788).

Almost surely, 2^{2101001101121} is an apocalyptic number.

It is an amenable number.

2101001101121 is a deficient number, since it is larger than the sum of its proper divisors (164846559487).

2101001101121 is a wasteful number, since it uses less digits than its factorization.

2101001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39632.

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

Adding to 2101001101121 its reverse (1211011001012), we get a palindrome (3312012102133).

The spelling of 2101001101121 in words is "two trillion, one hundred one billion, one million, one hundred one thousand, one hundred twenty-one".