10121011210121 has 16 divisors (see below), whose sum is σ = 11617774272000. Its totient is φ = 8636989901568.

The previous prime is 10121011210091. The next prime is 10121011210147. The reversal of 10121011210121 is 12101211012101.

10121011210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121011210121 - 2¹⁰ = 10121011209097 is a prime.

It is a super-3 number, since 3×10121011210121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121011210096 and 10121011210105.

It is not an unprimeable number, because it can be changed into a prime (10121011240121) 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, 7127141 + ... + 8428413.

It is an arithmetic number, because the mean of its divisors is an integer number (726110892000).

Almost surely, 2^{10121011210121} is an apocalyptic number.

It is an amenable number.

10121011210121 is a deficient number, since it is larger than the sum of its proper divisors (1496763061879).

10121011210121 is a wasteful number, since it uses less digits than its factorization.

10121011210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306168.

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

Adding to 10121011210121 its reverse (12101211012101), we get a palindrome (22222222222222).

It can be divided in two parts, 1012101 and 1210121, that multiplied together give a palindrome (1224764674221).

The spelling of 10121011210121 in words is "ten trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred twenty-one".