10212222221201 has 128 divisors (see below), whose sum is σ = 14238920392704. Its totient is φ = 7068384000000.

The previous prime is 10212222221171. The next prime is 10212222221237.

10212222221201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10212222221201 - 2¹⁸ = 10212221959057 is a prime.

It is a super-4 number, since 4×10212222221201⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212222221251) 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 127 ways as a sum of consecutive naturals, for example, 1123328666 + ... + 1123337756.

It is an arithmetic number, because the mean of its divisors is an integer number (111241565568).

Almost surely, 2^{10212222221201} is an apocalyptic number.

10212222221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212222221201 is a deficient number, since it is larger than the sum of its proper divisors (4026698171503).

10212222221201 is a wasteful number, since it uses less digits than its factorization.

10212222221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1021222 and 2221201, that added together give a palindrome (3242423).

The spelling of 10212222221201 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred one".