12010166101021 has 64 divisors (see below), whose sum is σ = 13926130384896. Its totient is φ = 10250446852800.

The previous prime is 12010166100997. The next prime is 12010166101069.

It is a happy number.

12010166101021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12010166101021 - 2¹³ = 12010166092829 is a prime.

It is a super-2 number, since 2×12010166101021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12010166100983 and 12010166101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010166101421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7644917166 + ... + 7644918736.

It is an arithmetic number, because the mean of its divisors is an integer number (217595787264).

Almost surely, 2^{12010166101021} is an apocalyptic number.

12010166101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010166101021 is a deficient number, since it is larger than the sum of its proper divisors (1915964283875).

12010166101021 is a wasteful number, since it uses less digits than its factorization.

12010166101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 1201016 and 6101021, that added together give a palindrome (7302037).

The spelling of 12010166101021 in words is "twelve trillion, ten billion, one hundred sixty-six million, one hundred one thousand, twenty-one".