1009201019101 has 8 divisors (see below), whose sum is σ = 1101057880608. Its totient is φ = 917362710000.

The previous prime is 1009201019081. The next prime is 1009201019111. The reversal of 1009201019101 is 1019101029001.

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

It is not a de Polignac number, because 1009201019101 - 2⁹ = 1009201018589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009201019111) 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, 4524235 + ... + 4742056.

It is an arithmetic number, because the mean of its divisors is an integer number (137632235076).

Almost surely, 2^{1009201019101} is an apocalyptic number.

1009201019101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1009201019101 is a deficient number, since it is larger than the sum of its proper divisors (91856861507).

1009201019101 is an equidigital number, since it uses as much as digits as its factorization.

1009201019101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276203.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 1009201019101 in words is "one trillion, nine billion, two hundred one million, nineteen thousand, one hundred one".