101829200001 has 16 divisors (see below), whose sum is σ = 144333215040. Its totient is φ = 63676411200.

The previous prime is 101829199987. The next prime is 101829200003. The reversal of 101829200001 is 100002928101.

It is not a de Polignac number, because 101829200001 - 2⁹ = 101829199489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101829200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8838190 + ... + 8849703.

It is an arithmetic number, because the mean of its divisors is an integer number (9020825940).

Almost surely, 2^101829200001 is an apocalyptic number.

It is an amenable number.

101829200001 is a deficient number, since it is larger than the sum of its proper divisors (42504015039).

101829200001 is a wasteful number, since it uses less digits than its factorization.

101829200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17688016.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 101829200001 in words is "one hundred one billion, eight hundred twenty-nine million, two hundred thousand, one".