121210101012121 has 24 divisors (see below), whose sum is σ = 135028885315464. Its totient is φ = 108711741600000.

The previous prime is 121210101012101. The next prime is 121210101012127.

121210101012121 is nontrivially palindromic in base 10.

121210101012121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 19183839364096 + 102026261648025 = 4379936^2 + 10100805^2 .

It is not a de Polignac number, because 121210101012121 - 2¹⁷ = 121210100881049 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121210101012095 and 121210101012104.

It is not an unprimeable number, because it can be changed into a prime (121210101012127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14213910 + ... + 21082111.

It is an arithmetic number, because the mean of its divisors is an integer number (5626203554811).

Almost surely, 2^{121210101012121} is an apocalyptic number.

121210101012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121210101012121 is a deficient number, since it is larger than the sum of its proper divisors (13818784303343).

121210101012121 is a wasteful number, since it uses less digits than its factorization.

121210101012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35296425 (or 35296414 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, 12121010 and 1012121, that added together give a palindrome (13133131).

The spelling of 121210101012121 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred one million, twelve thousand, one hundred twenty-one".