101414221003101 has 16 divisors (see below), whose sum is σ = 139643093145600. Its totient is φ = 65399359446960.

The previous prime is 101414221003087. The next prime is 101414221003129. The reversal of 101414221003101 is 101300122414101.

It is not a de Polignac number, because 101414221003101 - 2¹⁵ = 101414220970333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414221004101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242875551 + ... + 243292748.

It is an arithmetic number, because the mean of its divisors is an integer number (8727693321600).

Almost surely, 2^{101414221003101} is an apocalyptic number.

It is an amenable number.

101414221003101 is a deficient number, since it is larger than the sum of its proper divisors (38228872142499).

101414221003101 is a wasteful number, since it uses less digits than its factorization.

101414221003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486170576.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101414221003101 its reverse (101300122414101), we get a palindrome (202714343417202).

The spelling of 101414221003101 in words is "one hundred one trillion, four hundred fourteen billion, two hundred twenty-one million, three thousand, one hundred one".