100101222101001 has 48 divisors (see below), whose sum is σ = 148577624616960. Its totient is φ = 59896901433600.

The previous prime is 100101222100991. The next prime is 100101222101039.

100101222101001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100101222101001 - 2⁹ = 100101222100489 is a prime.

It is a super-2 number, since 2×100101222101001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101222101501) 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 47 ways as a sum of consecutive naturals, for example, 6616696 + ... + 15619958.

It is an arithmetic number, because the mean of its divisors is an integer number (3095367179520).

Almost surely, 2^{100101222101001} is an apocalyptic number.

100101222101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101222101001 is a deficient number, since it is larger than the sum of its proper divisors (48476402515959).

100101222101001 is a wasteful number, since it uses less digits than its factorization.

100101222101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003678 (or 9003667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 100101222101001 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, one".