100061671111001 has 8 divisors (see below), whose sum is σ = 100505188123080. Its totient is φ = 99618211199232.

The previous prime is 100061671110991. The next prime is 100061671111009. The reversal of 100061671111001 is 100111176160001.

It can be written as a sum of positive squares in 4 ways, for example, as 23326243575625 + 76735427535376 = 4829725^2 + 8759876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100061671111001 is a prime.

It is a super-2 number, since 2×100061671111001² (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 (100061671111009) 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 7 ways as a sum of consecutive naturals, for example, 10760630 + ... + 17773983.

It is an arithmetic number, because the mean of its divisors is an integer number (12563148515385).

Almost surely, 2^{100061671111001} is an apocalyptic number.

It is an amenable number.

100061671111001 is a deficient number, since it is larger than the sum of its proper divisors (443517012079).

100061671111001 is a wasteful number, since it uses less digits than its factorization.

100061671111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28550155.

The product of its (nonzero) digits is 252, while the sum is 26.

The spelling of 100061671111001 in words is "one hundred trillion, sixty-one billion, six hundred seventy-one million, one hundred eleven thousand, one".