10201414234221 has 48 divisors (see below), whose sum is σ = 17587316292480. Its totient is φ = 5827175303040.

The previous prime is 10201414234211. The next prime is 10201414234247. The reversal of 10201414234221 is 12243241410201.

10201414234221 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 414 + 23 + 4 + 221 = 666.

It is not a de Polignac number, because 10201414234221 - 2⁹ = 10201414233709 is a prime.

It is a super-3 number, since 3×10201414234221³ (a number of 40 digits) contains 333 as substring.

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 (10201414234211) 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, 2045461 + ... + 4958501.

It is an arithmetic number, because the mean of its divisors is an integer number (366402422760).

Almost surely, 2^{10201414234221} is an apocalyptic number.

It is an amenable number.

10201414234221 is a deficient number, since it is larger than the sum of its proper divisors (7385902058259).

10201414234221 is a wasteful number, since it uses less digits than its factorization.

10201414234221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915711 (or 2915698 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10201414234221 its reverse (12243241410201), we get a palindrome (22444655644422).

The spelling of 10201414234221 in words is "ten trillion, two hundred one billion, four hundred fourteen million, two hundred thirty-four thousand, two hundred twenty-one".