101819201201 has 16 divisors (see below), whose sum is σ = 104277279744. Its totient is φ = 99373707264.

The previous prime is 101819201171. The next prime is 101819201261. The reversal of 101819201201 is 102102918101.

It is a cyclic number.

It is not a de Polignac number, because 101819201201 - 2³⁰ = 100745459377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101819201261) 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, 36983441 + ... + 36986193.

It is an arithmetic number, because the mean of its divisors is an integer number (6517329984).

Almost surely, 2^101819201201 is an apocalyptic number.

It is an amenable number.

101819201201 is a deficient number, since it is larger than the sum of its proper divisors (2458078543).

101819201201 is a wasteful number, since it uses less digits than its factorization.

101819201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 101819201201 in words is "one hundred one billion, eight hundred nineteen million, two hundred one thousand, two hundred one".