10214415031221 has 64 divisors (see below), whose sum is σ = 16102885017600. Its totient is φ = 6376951929600.

The previous prime is 10214415031213. The next prime is 10214415031229. The reversal of 10214415031221 is 12213051441201.

10214415031221 is a `hidden beast` number, since 1 + 0 + 2 + 144 + 1 + 503 + 12 + 2 + 1 = 666.

10214415031221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10214415031213) and next prime (10214415031229).

It is not a de Polignac number, because 10214415031221 - 2³ = 10214415031213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214415031229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425251950 + ... + 425275968.

It is an arithmetic number, because the mean of its divisors is an integer number (251607578400).

Almost surely, 2^{10214415031221} is an apocalyptic number.

It is an amenable number.

10214415031221 is a deficient number, since it is larger than the sum of its proper divisors (5888469986379).

10214415031221 is a wasteful number, since it uses less digits than its factorization.

10214415031221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10214415031221 its reverse (12213051441201), we get a palindrome (22427466472422).

The spelling of 10214415031221 in words is "ten trillion, two hundred fourteen billion, four hundred fifteen million, thirty-one thousand, two hundred twenty-one".