10121111022121 has 64 divisors (see below), whose sum is σ = 11665609113600. Its totient is φ = 8696485728000.

The previous prime is 10121111022109. The next prime is 10121111022133. The reversal of 10121111022121 is 12122011112101.

It is an interprime number because it is at equal distance from previous prime (10121111022109) and next prime (10121111022133).

It is a cyclic number.

It is not a de Polignac number, because 10121111022121 - 2³⁷ = 9983672068649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121111022095 and 10121111022104.

It is not an unprimeable number, because it can be changed into a prime (10121111022151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2452411560 + ... + 2452415686.

It is an arithmetic number, because the mean of its divisors is an integer number (182275142400).

Almost surely, 2^{10121111022121} is an apocalyptic number.

10121111022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121111022121 is a deficient number, since it is larger than the sum of its proper divisors (1544498091479).

10121111022121 is a wasteful number, since it uses less digits than its factorization.

10121111022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110.

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

Adding to 10121111022121 its reverse (12122011112101), we get a palindrome (22243122134222).

The spelling of 10121111022121 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".