2100101102121 has 8 divisors (see below), whose sum is σ = 3054692512224. Its totient is φ = 1272788546720.

The previous prime is 2100101102063. The next prime is 2100101102149. The reversal of 2100101102121 is 1212011010012.

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 2100101102121 - 2¹⁷ = 2100100971049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100101102097 and 2100101102106.

It is not an unprimeable number, because it can be changed into a prime (2100101102191) 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, 31819713636 + ... + 31819713701.

It is an arithmetic number, because the mean of its divisors is an integer number (381836564028).

Almost surely, 2^{2100101102121} is an apocalyptic number.

It is an amenable number.

2100101102121 is a deficient number, since it is larger than the sum of its proper divisors (954591410103).

2100101102121 is a wasteful number, since it uses less digits than its factorization.

2100101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63639427351.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100101102121 its reverse (1212011010012), we get a palindrome (3312112112133).

It can be divided in two parts, 210010 and 1102121, that added together give a palindrome (1312131).

The spelling of 2100101102121 in words is "two trillion, one hundred billion, one hundred one million, one hundred two thousand, one hundred twenty-one".