10212022021201 has 32 divisors (see below), whose sum is σ = 13716866693376. Its totient is φ = 7342299648000.

The previous prime is 10212022021193. The next prime is 10212022021211.

It is a happy number.

10212022021201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10212022021201 - 2³ = 10212022021193 is a prime.

It is a super-2 number, since 2×10212022021201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212022021211) 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 31 ways as a sum of consecutive naturals, for example, 353761 + ... + 4533121.

It is an arithmetic number, because the mean of its divisors is an integer number (428652084168).

Almost surely, 2^{10212022021201} is an apocalyptic number.

10212022021201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212022021201 is a deficient number, since it is larger than the sum of its proper divisors (3504844672175).

10212022021201 is a wasteful number, since it uses less digits than its factorization.

10212022021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181833.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1021202 and 2021201, that added together give a palindrome (3042403).

The spelling of 10212022021201 in words is "ten trillion, two hundred twelve billion, twenty-two million, twenty-one thousand, two hundred one".