10121522512101 has 128 divisors (see below), whose sum is σ = 18294604984320. Its totient is φ = 4846781111040.

The previous prime is 10121522511943. The next prime is 10121522512103.

10121522512101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10121522512101 - 2²⁵ = 10121488957669 is a prime.

It is a super-3 number, since 3×10121522512101³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121522512103) 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 127 ways as a sum of consecutive naturals, for example, 268506411 + ... + 268544103.

It is an arithmetic number, because the mean of its divisors is an integer number (142926601440).

Almost surely, 2^{10121522512101} is an apocalyptic number.

10121522512101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121522512101 is a deficient number, since it is larger than the sum of its proper divisors (8173082472219).

10121522512101 is a wasteful number, since it uses less digits than its factorization.

10121522512101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38488 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 1012152 and 2512101, that added together give a palindrome (3524253).

The spelling of 10121522512101 in words is "ten trillion, one hundred twenty-one billion, five hundred twenty-two million, five hundred twelve thousand, one hundred one".