101212121010121 has 12 divisors (see below), whose sum is σ = 112351168790532. Its totient is φ = 91100018900000.

The previous prime is 101212121010113. The next prime is 101212121010181. The reversal of 101212121010121 is 121010121212101.

101212121010121 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 2 ways, for example, as 92189090295225 + 9023030714896 = 9601515^2 + 3003836^2 .

It is not a de Polignac number, because 101212121010121 - 2³ = 101212121010113 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 = 101212121010095 and 101212121010104.

It is not an unprimeable number, because it can be changed into a prime (101212121010181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140897730 + ... + 4140922171.

It is an arithmetic number, because the mean of its divisors is an integer number (9362597399211).

Almost surely, 2^{101212121010121} is an apocalyptic number.

101212121010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212121010121 is a deficient number, since it is larger than the sum of its proper divisors (11139047780411).

101212121010121 is a wasteful number, since it uses less digits than its factorization.

101212121010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281820024 (or 8281820013 counting only the distinct ones).

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

Adding to 101212121010121 its reverse (121010121212101), we get a palindrome (222222242222222).

The spelling of 101212121010121 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred twenty-one".