10101211210101 has 48 divisors (see below), whose sum is σ = 15211119049280. Its totient is φ = 5954761612800.

The previous prime is 10101211210091. The next prime is 10101211210127.

10101211210101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10101211210101 - 2¹⁰ = 10101211209077 is a prime.

It is a super-2 number, since 2×10101211210101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101211210501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419155 + ... + 5104383.

Almost surely, 2^{10101211210101} is an apocalyptic number.

10101211210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101211210101 is a deficient number, since it is larger than the sum of its proper divisors (5109907839179).

10101211210101 is a wasteful number, since it uses less digits than its factorization.

10101211210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685538 (or 2685527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1010121 and 1210101, that multiplied together give a palindrome (1222348432221).

The spelling of 10101211210101 in words is "ten trillion, one hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred one".