101002000000221 has 32 divisors (see below), whose sum is σ = 149978932857600. Its totient is φ = 67178824796160.

The previous prime is 101002000000157. The next prime is 101002000000247. The reversal of 101002000000221 is 122000000200101.

It is not a de Polignac number, because 101002000000221 - 2⁶ = 101002000000157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002000000261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358305685 + ... + 358587461.

It is an arithmetic number, because the mean of its divisors is an integer number (4686841651800).

Almost surely, 2^{101002000000221} is an apocalyptic number.

It is an amenable number.

101002000000221 is a deficient number, since it is larger than the sum of its proper divisors (48976932857379).

101002000000221 is a wasteful number, since it uses less digits than its factorization.

101002000000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312466 (or 312460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101002000000221 its reverse (122000000200101), we get a palindrome (223002000200322).

The spelling of 101002000000221 in words is "one hundred one trillion, two billion, two hundred twenty-one", and thus it is an aban number.