101001010009872 has 160 divisors (see below), whose sum is σ = 305136150449152. Its totient is φ = 28185593006592.

The previous prime is 101001010009819. The next prime is 101001010009873. The reversal of 101001010009872 is 278900010100101.

It is not an unprimeable number, because it can be changed into a prime (101001010009873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791498778 + ... + 791626374.

Almost surely, 2^{101001010009872} is an apocalyptic number.

101001010009872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001010009872 is an abundant number, since it is smaller than the sum of its proper divisors (204135140439280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001010009872 is a wasteful number, since it uses less digits than its factorization.

101001010009872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182445 (or 182439 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

Adding to 101001010009872 its reverse (278900010100101), we get a palindrome (379901020109973).

The spelling of 101001010009872 in words is "one hundred one trillion, one billion, ten million, nine thousand, eight hundred seventy-two".