100101221219977 has 8 divisors (see below), whose sum is σ = 102484868832072. Its totient is φ = 97741529865600.

The previous prime is 100101221219893. The next prime is 100101221220019. The reversal of 100101221219977 is 779912122101001.

It can be written as a sum of positive squares in 4 ways, for example, as 17783822736 + 100083437397241 = 133356^2 + 10004171^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100101221219977 - 2⁷ = 100101221219849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101221279977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5989055974 + ... + 5989072687.

It is an arithmetic number, because the mean of its divisors is an integer number (12810608604009).

Almost surely, 2^{100101221219977} is an apocalyptic number.

It is an amenable number.

100101221219977 is a deficient number, since it is larger than the sum of its proper divisors (2383647612095).

100101221219977 is a wasteful number, since it uses less digits than its factorization.

100101221219977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978128859.

The product of its (nonzero) digits is 31752, while the sum is 43.

The spelling of 100101221219977 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred nineteen thousand, nine hundred seventy-seven".