10121122112101 has 96 divisors (see below), whose sum is σ = 14349606340608. Its totient is φ = 6893147018880.

The previous prime is 10121122112099. The next prime is 10121122112111.

10121122112101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10121122112101 - 2¹ = 10121122112099 is a prime.

It is a super-2 number, since 2×10121122112101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121122112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810526480 + ... + 810538966.

It is an arithmetic number, because the mean of its divisors is an integer number (149475066048).

Almost surely, 2^{10121122112101} is an apocalyptic number.

10121122112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121122112101 is a deficient number, since it is larger than the sum of its proper divisors (4228484228507).

10121122112101 is a wasteful number, since it uses less digits than its factorization.

10121122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14780 counting only the distinct ones).

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

It can be divided in two parts, 1012112 and 2112101, that added together give a palindrome (3124213).

The spelling of 10121122112101 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".