10201000021011 has 16 divisors (see below), whose sum is σ = 15126294021120. Its totient is φ = 6794501051880.

The previous prime is 10201000020941. The next prime is 10201000021021. The reversal of 10201000021011 is 11012000010201.

It is a happy number.

10201000021011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201000021011 - 2¹⁴ = 10201000004627 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 = 10201000020984 and 10201000021002.

It is not an unprimeable number, because it can be changed into a prime (10201000021021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171237135 + ... + 171296696.

It is an arithmetic number, because the mean of its divisors is an integer number (945393376320).

Almost surely, 2^{10201000021011} is an apocalyptic number.

10201000021011 is a deficient number, since it is larger than the sum of its proper divisors (4925294000109).

10201000021011 is a wasteful number, since it uses less digits than its factorization.

10201000021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342534943 (or 342534937 counting only the distinct ones).

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

Adding to 10201000021011 its reverse (11012000010201), we get a palindrome (21213000031212).

The spelling of 10201000021011 in words is "ten trillion, two hundred one billion, twenty-one thousand, eleven".