10011102002010 has 128 divisors (see below), whose sum is σ = 26738160134400. Its totient is φ = 2665441013760.

The previous prime is 10011102002009. The next prime is 10011102002021. The reversal of 10011102002010 is 1020020111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011102001983 and 10011102002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696708106 + ... + 696722474.

It is an arithmetic number, because the mean of its divisors is an integer number (208891876050).

Almost surely, 2^{10011102002010} is an apocalyptic number.

10011102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011102002010 is an abundant number, since it is smaller than the sum of its proper divisors (16727058132390).

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

10011102002010 is a wasteful number, since it uses less digits than its factorization.

10011102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011102002010 its reverse (1020020111001), we get a palindrome (11031122113011).

The spelling of 10011102002010 in words is "ten trillion, eleven billion, one hundred two million, two thousand, ten".