100101121120101 has 4 divisors (see below), whose sum is σ = 133468161493472. Its totient is φ = 66734080746732.

The previous prime is 100101121120097. The next prime is 100101121120109. The reversal of 100101121120101 is 101021121101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 100101121120101 - 2² = 100101121120097 is a prime.

It is a super-2 number, since 2×100101121120101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121120109) 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 3 ways as a sum of consecutive naturals, for example, 16683520186681 + ... + 16683520186686.

It is an arithmetic number, because the mean of its divisors is an integer number (33367040373368).

Almost surely, 2^{100101121120101} is an apocalyptic number.

It is an amenable number.

100101121120101 is a deficient number, since it is larger than the sum of its proper divisors (33367040373371).

100101121120101 is an equidigital number, since it uses as much as digits as its factorization.

100101121120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367040373370.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101121120101 its reverse (101021121101001), we get a palindrome (201122242221102).

The spelling of 100101121120101 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred one".