122100114101 has 8 divisors (see below), whose sum is σ = 147751398720. Its totient is φ = 98500932288.

The previous prime is 122100114023. The next prime is 122100114131. The reversal of 122100114101 is 101411001221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122100114101 is a prime.

It is a super-3 number, since 3×122100114101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513025571 + ... + 513025808.

It is an arithmetic number, because the mean of its divisors is an integer number (18468924840).

Almost surely, 2^122100114101 is an apocalyptic number.

It is an amenable number.

122100114101 is a deficient number, since it is larger than the sum of its proper divisors (25651284619).

122100114101 is a wasteful number, since it uses less digits than its factorization.

122100114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026051403.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100114101 its reverse (101411001221), we get a palindrome (223511115322).

The spelling of 122100114101 in words is "one hundred twenty-two billion, one hundred million, one hundred fourteen thousand, one hundred one".