10011012001221 has 32 divisors (see below), whose sum is σ = 16644215098368. Its totient is φ = 5199734211840.

The previous prime is 10011012001187. The next prime is 10011012001259. The reversal of 10011012001221 is 12210021011001.

It is not a de Polignac number, because 10011012001221 - 2⁶ = 10011012001157 is a prime.

It is a super-2 number, since 2×10011012001221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011012001197 and 10011012001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011012001321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1775355 + ... + 4813928.

It is an arithmetic number, because the mean of its divisors is an integer number (520131721824).

Almost surely, 2^{10011012001221} is an apocalyptic number.

10011012001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011012001221 is a deficient number, since it is larger than the sum of its proper divisors (6633203097147).

10011012001221 is a wasteful number, since it uses less digits than its factorization.

10011012001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595881.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011012001221 its reverse (12210021011001), we get a palindrome (22221033012222).

The spelling of 10011012001221 in words is "ten trillion, eleven billion, twelve million, one thousand, two hundred twenty-one".