10001020120011 has 64 divisors (see below), whose sum is σ = 15383616000000. Its totient is φ = 6413801377536.

The previous prime is 10001020119991. The next prime is 10001020120027. The reversal of 10001020120011 is 11002102010001.

It is a happy number.

It is not a de Polignac number, because 10001020120011 - 2²² = 10001015925707 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001020119975 and 10001020120002.

It is not an unprimeable number, because it can be changed into a prime (10001020120061) 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 63 ways as a sum of consecutive naturals, for example, 237144135 + ... + 237186303.

It is an arithmetic number, because the mean of its divisors is an integer number (240369000000).

Almost surely, 2^{10001020120011} is an apocalyptic number.

10001020120011 is a deficient number, since it is larger than the sum of its proper divisors (5382595879989).

10001020120011 is a wasteful number, since it uses less digits than its factorization.

10001020120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43313 (or 43307 counting only the distinct ones).

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

Adding to 10001020120011 its reverse (11002102010001), we get a palindrome (21003122130012).

The spelling of 10001020120011 in words is "ten trillion, one billion, twenty million, one hundred twenty thousand, eleven".