100222112101001 has 16 divisors (see below), whose sum is σ = 112012120636416. Its totient is φ = 88879074000000.

The previous prime is 100222112100973. The next prime is 100222112101049. The reversal of 100222112101001 is 100101211222001.

It is a cyclic number.

It is not a de Polignac number, because 100222112101001 - 2³⁸ = 99947234194057 is a prime.

It is a super-2 number, since 2×100222112101001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100222112101801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8014850 + ... + 16269051.

It is an arithmetic number, because the mean of its divisors is an integer number (7000757539776).

Almost surely, 2^{100222112101001} is an apocalyptic number.

100222112101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222112101001 is a deficient number, since it is larger than the sum of its proper divisors (11790008535415).

100222112101001 is a wasteful number, since it uses less digits than its factorization.

100222112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24293104.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100222112101001 its reverse (100101211222001), we get a palindrome (200323323323002).

The spelling of 100222112101001 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand, one".