100222103214431 has 48 divisors (see below), whose sum is σ = 116936490585600. Its totient is φ = 85167141649920.

The previous prime is 100222103214413. The next prime is 100222103214437. The reversal of 100222103214431 is 134412301222001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100222103214431 is a prime.

It is a super-2 number, since 2×100222103214431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100222103214431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222103214437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352227686 + ... + 352512108.

It is an arithmetic number, because the mean of its divisors is an integer number (2436176887200).

Almost surely, 2^{100222103214431} is an apocalyptic number.

100222103214431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222103214431 is a deficient number, since it is larger than the sum of its proper divisors (16714387371169).

100222103214431 is a wasteful number, since it uses less digits than its factorization.

100222103214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285224 (or 285207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 100222103214431 its reverse (134412301222001), we get a palindrome (234634404436432).

The spelling of 100222103214431 in words is "one hundred trillion, two hundred twenty-two billion, one hundred three million, two hundred fourteen thousand, four hundred thirty-one".