101212212101 has 72 divisors (see below), whose sum is σ = 139691952000. Its totient is φ = 72479796480.

The previous prime is 101212212043. The next prime is 101212212121.

101212212101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101212212101 - 2¹⁰ = 101212211077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212212121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21768425 + ... + 21773073.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166000).

Almost surely, 2^101212212101 is an apocalyptic number.

101212212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212212101 is a deficient number, since it is larger than the sum of its proper divisors (38479739899).

101212212101 is a wasteful number, since it uses less digits than its factorization.

101212212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 101212 and 212101, that added together give a palindrome (313313).

The spelling of 101212212101 in words is "one hundred one billion, two hundred twelve million, two hundred twelve thousand, one hundred one".