2101102120121 has 8 divisors (see below), whose sum is σ = 2108499296904. Its totient is φ = 2093706482560.

The previous prime is 2101102120099. The next prime is 2101102120141. The reversal of 2101102120121 is 1210212011012.

It can be written as a sum of positive squares in 4 ways, for example, as 496228669225 + 1604873450896 = 704435^2 + 1266836^2 .

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 2101102120121 - 2¹⁸ = 2101101857977 is a prime.

It is a super-2 number, since 2×2101102120121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101102120096 and 2101102120105.

It is not an unprimeable number, because it can be changed into a prime (2101102120141) 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, 2385101 + ... + 3144981.

It is an arithmetic number, because the mean of its divisors is an integer number (263562412113).

Almost surely, 2^{2101102120121} is an apocalyptic number.

It is an amenable number.

2101102120121 is a deficient number, since it is larger than the sum of its proper divisors (7397176783).

2101102120121 is an equidigital number, since it uses as much as digits as its factorization.

2101102120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769611.

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

Adding to 2101102120121 its reverse (1210212011012), we get a palindrome (3311314131133).

The spelling of 2101102120121 in words is "two trillion, one hundred one billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".