101413414323221 has 128 divisors (see below), whose sum is σ = 141598840061952. Its totient is φ = 70685439264000.

The previous prime is 101413414323217. The next prime is 101413414323257. The reversal of 101413414323221 is 122323414314101.

It is not a de Polignac number, because 101413414323221 - 2² = 101413414323217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413414325221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574873196 + ... + 575049578.

It is an arithmetic number, because the mean of its divisors is an integer number (1106240937984).

Almost surely, 2^{101413414323221} is an apocalyptic number.

101413414323221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101413414323221 is a deficient number, since it is larger than the sum of its proper divisors (40185425738731).

101413414323221 is a wasteful number, since it uses less digits than its factorization.

101413414323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176584 (or 176562 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 101413414323221 its reverse (122323414314101), we get a palindrome (223736828637322).

The spelling of 101413414323221 in words is "one hundred one trillion, four hundred thirteen billion, four hundred fourteen million, three hundred twenty-three thousand, two hundred twenty-one".