101212222212101 has 216 divisors, whose sum is σ = 144097089139584. Its totient is φ = 70754523840000.

The previous prime is 101212222212097. The next prime is 101212222212103.

101212222212101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101212222212101 - 2² = 101212222212097 is a prime.

It is a super-2 number, since 2×101212222212101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212222212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11133228566 + ... + 11133237656.

It is an arithmetic number, because the mean of its divisors is an integer number (667116153424).

Almost surely, 2^{101212222212101} is an apocalyptic number.

101212222212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212222212101 is a deficient number, since it is larger than the sum of its proper divisors (42884866927483).

101212222212101 is a wasteful number, since it uses less digits than its factorization.

101212222212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

It can be divided in two parts, 10121 and 2222212101, that added together give a palindrome (2222222222).

The spelling of 101212222212101 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".