100123122222101 has 8 divisors (see below), whose sum is σ = 109225321128000. Its totient is φ = 91020939463840.

The previous prime is 100123122222089. The next prime is 100123122222143. The reversal of 100123122222101 is 101222221321001.

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

It is a cyclic number.

It is not a de Polignac number, because 100123122222101 - 2⁴² = 95725075710997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123122222001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11541560 + ... + 18260718.

It is an arithmetic number, because the mean of its divisors is an integer number (13653165141000).

Almost surely, 2^{100123122222101} is an apocalyptic number.

100123122222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100123122222101 is a deficient number, since it is larger than the sum of its proper divisors (9102198905899).

100123122222101 is a wasteful number, since it uses less digits than its factorization.

100123122222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073819.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100123122222101 its reverse (101222221321001), we get a palindrome (201345343543102).

The spelling of 100123122222101 in words is "one hundred trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".