100122220001001 has 128 divisors (see below), whose sum is σ = 151110728810496. Its totient is φ = 58434985025280.

The previous prime is 100122220000993. The next prime is 100122220001077. The reversal of 100122220001001 is 100100022221001.

It is not a de Polignac number, because 100122220001001 - 2³ = 100122220000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122227001001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60205783896 + ... + 60205785558.

It is an arithmetic number, because the mean of its divisors is an integer number (1180552568832).

Almost surely, 2^{100122220001001} is an apocalyptic number.

100122220001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122220001001 is a deficient number, since it is larger than the sum of its proper divisors (50988508809495).

100122220001001 is a wasteful number, since it uses less digits than its factorization.

100122220001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971.

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

Adding to 100122220001001 its reverse (100100022221001), we get a palindrome (200222242222002).

The spelling of 100122220001001 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, one thousand, one".