101214101412101 has 4 divisors (see below), whose sum is σ = 101216280589632. Its totient is φ = 101211922234572.

The previous prime is 101214101412089. The next prime is 101214101412139.

101214101412101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101214101412101 - 2¹⁴ = 101214101395717 is a prime.

It is a super-3 number, since 3×101214101412101³ (a number of 43 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214101412301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1089519095 + ... + 1089611988.

It is an arithmetic number, because the mean of its divisors is an integer number (25304070147408).

Almost surely, 2^{101214101412101} is an apocalyptic number.

It is an amenable number.

101214101412101 is a deficient number, since it is larger than the sum of its proper divisors (2179177531).

101214101412101 is an equidigital number, since it uses as much as digits as its factorization.

101214101412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179177530.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 10121410 and 1412101, that added together give a palindrome (11533511).

The spelling of 101214101412101 in words is "one hundred one trillion, two hundred fourteen billion, one hundred one million, four hundred twelve thousand, one hundred one".