121310101000011 has 96 divisors (see below), whose sum is σ = 207367084039680. Its totient is φ = 62371589952000.

The previous prime is 121310101000009. The next prime is 121310101000013. The reversal of 121310101000011 is 110000101013121.

It is an interprime number because it is at equal distance from previous prime (121310101000009) and next prime (121310101000013).

It is not a de Polignac number, because 121310101000011 - 2¹ = 121310101000009 is a prime.

It is a super-2 number, since 2×121310101000011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121310101000013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453397570 + ... + 453665048.

It is an arithmetic number, because the mean of its divisors is an integer number (2160073792080).

Almost surely, 2^{121310101000011} is an apocalyptic number.

121310101000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121310101000011 is a deficient number, since it is larger than the sum of its proper divisors (86056983039669).

121310101000011 is a wasteful number, since it uses less digits than its factorization.

121310101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270385 (or 270378 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 121310101000011 its reverse (110000101013121), we get a palindrome (231310202013132).

The spelling of 121310101000011 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred one million, eleven", and thus it is an aban number.