10121110102121 has 16 divisors (see below), whose sum is σ = 10299056947200. Its totient is φ = 9943378909200.

The previous prime is 10121110102109. The next prime is 10121110102133. The reversal of 10121110102121 is 12120101112101.

It is an interprime number because it is at equal distance from previous prime (10121110102109) and next prime (10121110102133).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121110102121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121110102096 and 10121110102105.

It is not an unprimeable number, because it can be changed into a prime (10121110122121) 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, 929304086 + ... + 929314976.

It is an arithmetic number, because the mean of its divisors is an integer number (643691059200).

Almost surely, 2^{10121110102121} is an apocalyptic number.

It is an amenable number.

10121110102121 is a deficient number, since it is larger than the sum of its proper divisors (177946845079).

10121110102121 is a wasteful number, since it uses less digits than its factorization.

10121110102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121110102121 its reverse (12120101112101), we get a palindrome (22241211214222).

The spelling of 10121110102121 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred two thousand, one hundred twenty-one".