1201001000221 has 48 divisors (see below), whose sum is σ = 1412194553280. Its totient is φ = 1017568569600.

The previous prime is 1201001000189. The next prime is 1201001000231. The reversal of 1201001000221 is 1220001001021.

It is not a de Polignac number, because 1201001000221 - 2⁵ = 1201001000189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201001000198 and 1201001000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201001000231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126456345 + ... + 126465841.

It is an arithmetic number, because the mean of its divisors is an integer number (29420719860).

Almost surely, 2^{1201001000221} is an apocalyptic number.

1201001000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201001000221 is a deficient number, since it is larger than the sum of its proper divisors (211193553059).

1201001000221 is a wasteful number, since it uses less digits than its factorization.

1201001000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201001000221 its reverse (1220001001021), we get a palindrome (2421002001242).

The spelling of 1201001000221 in words is "one trillion, two hundred one billion, one million, two hundred twenty-one", and thus it is an aban number.