100222002101001 has 64 divisors (see below), whose sum is σ = 153402520550400. Its totient is φ = 57664627587840.

The previous prime is 100222002100951. The next prime is 100222002101027. The reversal of 100222002101001 is 100101200222001.

It is not a de Polignac number, because 100222002101001 - 2⁷ = 100222002100873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100222002108001) 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 63 ways as a sum of consecutive naturals, for example, 1819975 + ... + 14274323.

It is an arithmetic number, because the mean of its divisors is an integer number (2396914383600).

Almost surely, 2^{100222002101001} is an apocalyptic number.

100222002101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222002101001 is a deficient number, since it is larger than the sum of its proper divisors (53180518449399).

100222002101001 is a wasteful number, since it uses less digits than its factorization.

100222002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454566.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222002101001 its reverse (100101200222001), we get a palindrome (200323202323002).

The spelling of 100222002101001 in words is "one hundred trillion, two hundred twenty-two billion, two million, one hundred one thousand, one".