100101122011001 has 4 divisors (see below), whose sum is σ = 100203579659892. Its totient is φ = 99998664362112.

The previous prime is 100101122010961. The next prime is 100101122011087. The reversal of 100101122011001 is 100110221101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 79209092202601 + 20892029808400 = 8899949^2 + 4570780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101122011001 is a prime.

It is a super-2 number, since 2×100101122011001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101122019001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51228822980 + ... + 51228824933.

It is an arithmetic number, because the mean of its divisors is an integer number (25050894914973).

Almost surely, 2^{100101122011001} is an apocalyptic number.

It is an amenable number.

100101122011001 is a deficient number, since it is larger than the sum of its proper divisors (102457648891).

100101122011001 is an equidigital number, since it uses as much as digits as its factorization.

100101122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102457648890.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101122011001 its reverse (100110221101001), we get a palindrome (200211343112002).

The spelling of 100101122011001 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, eleven thousand, one".