221020001211012 has 96 divisors (see below), whose sum is σ = 540326646451200. Its totient is φ = 70183463720832.

The previous prime is 221020001211011. The next prime is 221020001211047. The reversal of 221020001211012 is 210112100020122.

It is a junction number, because it is equal to n+sod(n) for n = 221020001210982 and 221020001211000.

It is not an unprimeable number, because it can be changed into a prime (221020001211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165925539 + ... + 167252277.

It is an arithmetic number, because the mean of its divisors is an integer number (5628402567200).

Almost surely, 2^{221020001211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020001211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270163323225600).

221020001211012 is an abundant number, since it is smaller than the sum of its proper divisors (319306645240188).

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

221020001211012 is a wasteful number, since it uses less digits than its factorization.

221020001211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329225 (or 1329223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221020001211012 its reverse (210112100020122), we get a palindrome (431132101231134).

The spelling of 221020001211012 in words is "two hundred twenty-one trillion, twenty billion, one million, two hundred eleven thousand, twelve".