109821128901 has 16 divisors (see below), whose sum is σ = 159746914368. Its totient is φ = 66555305600.

The previous prime is 109821128899. The next prime is 109821128981.

It is a happy number.

109821128901 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 109821128901 - 2¹ = 109821128899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109821128981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855331 + ... + 975311.

It is an arithmetic number, because the mean of its divisors is an integer number (9984182148).

Almost surely, 2^109821128901 is an apocalyptic number.

109821128901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109821128901 is a deficient number, since it is larger than the sum of its proper divisors (49925785467).

109821128901 is a wasteful number, since it uses less digits than its factorization.

109821128901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147732.

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 109821128901 in words is "one hundred nine billion, eight hundred twenty-one million, one hundred twenty-eight thousand, nine hundred one".