10010000221011 has 48 divisors (see below), whose sum is σ = 16635972120768. Its totient is φ = 5681491200000.

The previous prime is 10010000221009. The next prime is 10010000221031. The reversal of 10010000221011 is 11012200001001.

It is a happy number.

It is not a de Polignac number, because 10010000221011 - 2¹ = 10010000221009 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 = 10010000220984 and 10010000221002.

It is not an unprimeable number, because it can be changed into a prime (10010000221031) 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 47 ways as a sum of consecutive naturals, for example, 6788011 + ... + 8130011.

It is an arithmetic number, because the mean of its divisors is an integer number (346582752516).

Almost surely, 2^{10010000221011} is an apocalyptic number.

10010000221011 is a deficient number, since it is larger than the sum of its proper divisors (6625971899757).

10010000221011 is a wasteful number, since it uses less digits than its factorization.

10010000221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342812 (or 1342809 counting only the distinct ones).

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

Adding to 10010000221011 its reverse (11012200001001), we get a palindrome (21022200222012).

The spelling of 10010000221011 in words is "ten trillion, ten billion, two hundred twenty-one thousand, eleven".