101221002002224 has 80 divisors (see below), whose sum is σ = 212861639983104. Its totient is φ = 46351446048000.

The previous prime is 101221002002161. The next prime is 101221002002251. The reversal of 101221002002224 is 422200200122101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11889649 + ... + 18541999.

Almost surely, 2^{101221002002224} 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 101221002002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106430819991552).

101221002002224 is an abundant number, since it is smaller than the sum of its proper divisors (111640637980880).

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

101221002002224 is a wasteful number, since it uses less digits than its factorization.

101221002002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652946 (or 6652940 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 101221002002224 its reverse (422200200122101), we get a palindrome (523421202124325).

It can be divided in two parts, 10122100 and 2002224, that added together give a square (12124324 = 3482²).

The spelling of 101221002002224 in words is "one hundred one trillion, two hundred twenty-one billion, two million, two thousand, two hundred twenty-four".