100101410222411 has 32 divisors (see below), whose sum is σ = 109755980040000. Its totient is φ = 91279645576704.

The previous prime is 100101410222353. The next prime is 100101410222413. The reversal of 100101410222411 is 114222014101001.

It is not a de Polignac number, because 100101410222411 - 2³⁸ = 99826532315467 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101410222413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897357765 + ... + 2897392313.

It is an arithmetic number, because the mean of its divisors is an integer number (3429874376250).

Almost surely, 2^{100101410222411} is an apocalyptic number.

100101410222411 is a deficient number, since it is larger than the sum of its proper divisors (9654569817589).

100101410222411 is an equidigital number, since it uses as much as digits as its factorization.

100101410222411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50560 (or 50534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100101410222411 its reverse (114222014101001), we get a palindrome (214323424323412).

The spelling of 100101410222411 in words is "one hundred trillion, one hundred one billion, four hundred ten million, two hundred twenty-two thousand, four hundred eleven".