10121000010121 has 128 divisors (see below), whose sum is σ = 14840179200000. Its totient is φ = 6639667614720.

The previous prime is 10121000010061. The next prime is 10121000010151. The reversal of 10121000010121 is 12101000012101.

It is not a de Polignac number, because 10121000010121 - 2¹⁷ = 10120999879049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121000010098 and 10121000010107.

It is not an unprimeable number, because it can be changed into a prime (10121000010151) 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 127 ways as a sum of consecutive naturals, for example, 192465010 + ... + 192517588.

It is an arithmetic number, because the mean of its divisors is an integer number (115938900000).

Almost surely, 2^{10121000010121} is an apocalyptic number.

10121000010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121000010121 is a deficient number, since it is larger than the sum of its proper divisors (4719179189879).

10121000010121 is a wasteful number, since it uses less digits than its factorization.

10121000010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53007.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121000010121 its reverse (12101000012101), we get a palindrome (22222000022222).

It can be divided in two parts, 101210000 and 10121, that multiplied together give a square (1024346410000 = 1012100²).

The spelling of 10121000010121 in words is "ten trillion, one hundred twenty-one billion, ten thousand, one hundred twenty-one".