101212101212101 has 16 divisors (see below), whose sum is σ = 112427941991616. Its totient is φ = 91100000970000.

The previous prime is 101212101212099. The next prime is 101212101212147.

101212101212101 is nontrivially palindromic in base 10.

101212101212101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 101212101212101 - 2¹ = 101212101212099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212101212171) 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, 376311855 + ... + 376580716.

It is an arithmetic number, because the mean of its divisors is an integer number (7026746374476).

Almost surely, 2^{101212101212101} is an apocalyptic number.

101212101212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212101212101 is a deficient number, since it is larger than the sum of its proper divisors (11215840779515).

101212101212101 is an equidigital number, since it uses as much as digits as its factorization.

101212101212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752892705 (or 752892683 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, 10121210 and 1212101, that added together give a palindrome (11333311).

The spelling of 101212101212101 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred one".