100101122001001 has 16 divisors (see below), whose sum is σ = 110519580127680. Its totient is φ = 89907535710720.

The previous prime is 100101122000923. The next prime is 100101122001047. The reversal of 100101122001001 is 100100221101001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101122001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101122001071) 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, 128256111 + ... + 129034228.

It is an arithmetic number, because the mean of its divisors is an integer number (6907473757980).

Almost surely, 2^{100101122001001} is an apocalyptic number.

100101122001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101122001001 is a deficient number, since it is larger than the sum of its proper divisors (10418458126679).

100101122001001 is a wasteful number, since it uses less digits than its factorization.

100101122001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257290776.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101122001001 its reverse (100100221101001), we get a palindrome (200201343102002).

The spelling of 100101122001001 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one thousand, one".