101002001113 has 12 divisors (see below), whose sum is σ = 110451911148. Its totient is φ = 92309505600.

The previous prime is 101002001099. The next prime is 101002001117. The reversal of 101002001113 is 311100200101.

It can be written as a sum of positive squares in 6 ways, for example, as 5389321744 + 95612679369 = 73412^2 + 309213^2 .

It is not a de Polignac number, because 101002001113 - 2¹³ = 101001992921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101002001113.

It is not an unprimeable number, because it can be changed into a prime (101002001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941570 + ... + 2975707.

It is an arithmetic number, because the mean of its divisors is an integer number (9204325929).

Almost surely, 2^101002001113 is an apocalyptic number.

101002001113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101002001113 is a deficient number, since it is larger than the sum of its proper divisors (9449910035).

101002001113 is a wasteful number, since it uses less digits than its factorization.

101002001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917404 (or 5917391 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101002001113 its reverse (311100200101), we get a palindrome (412102201214).

The spelling of 101002001113 in words is "one hundred one billion, two million, one thousand, one hundred thirteen".