101214303412101 has 24 divisors (see below), whose sum is σ = 157061767871232. Its totient is φ = 57733649001600.

The previous prime is 101214303412021. The next prime is 101214303412121.

101214303412101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101214303412101 - 2⁹ = 101214303411589 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214303412121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8200796245 + ... + 8200808586.

It is an arithmetic number, because the mean of its divisors is an integer number (6544240327968).

Almost surely, 2^{101214303412101} is an apocalyptic number.

101214303412101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101214303412101 is a deficient number, since it is larger than the sum of its proper divisors (55847464459131).

101214303412101 is a wasteful number, since it uses less digits than its factorization.

101214303412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401604873 (or 16401604862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 10121430 and 3412101, that added together give a palindrome (13533531).

The spelling of 101214303412101 in words is "one hundred one trillion, two hundred fourteen billion, three hundred three million, four hundred twelve thousand, one hundred one".