101212111222101 has 96 divisors (see below), whose sum is σ = 164970116812800. Its totient is φ = 59270901085440.

The previous prime is 101212111222097. The next prime is 101212111222111. The reversal of 101212111222101 is 101222111212101.

It is a happy number.

101212111222101 is a `hidden beast` number, since 1 + 0 + 121 + 211 + 122 + 210 + 1 = 666.

It is not a de Polignac number, because 101212111222101 - 2² = 101212111222097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212111222111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178562620 + ... + 179128538.

It is an arithmetic number, because the mean of its divisors is an integer number (1718438716800).

Almost surely, 2^{101212111222101} is an apocalyptic number.

101212111222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212111222101 is a deficient number, since it is larger than the sum of its proper divisors (63758005590699).

101212111222101 is a wasteful number, since it uses less digits than its factorization.

101212111222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566519 (or 566516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101212111222101 its reverse (101222111212101), we get a palindrome (202434222434202).

The spelling of 101212111222101 in words is "one hundred one trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty-two thousand, one hundred one".