201829101009 has 8 divisors (see below), whose sum is σ = 269312000832. Its totient is φ = 134449467600.

The previous prime is 201829100981. The next prime is 201829101059. The reversal of 201829101009 is 900101928102.

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

It is not a de Polignac number, because 201829101009 - 2⁷ = 201829100881 is a prime.

It is a super-2 number, since 2×201829101009² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201829101059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25812042 + ... + 25819859.

It is an arithmetic number, because the mean of its divisors is an integer number (33664000104).

Almost surely, 2^201829101009 is an apocalyptic number.

It is an amenable number.

201829101009 is a deficient number, since it is larger than the sum of its proper divisors (67482899823).

201829101009 is a wasteful number, since it uses less digits than its factorization.

201829101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51633207.

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 201829101009 in words is "two hundred one billion, eight hundred twenty-nine million, one hundred one thousand, nine".