101100556123 has 8 divisors (see below), whose sum is σ = 115770497760. Its totient is φ = 86487365760.

The previous prime is 101100556103. The next prime is 101100556127. The reversal of 101100556123 is 321655001101.

It is a happy number.

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-101100556123 is a prime.

It is a super-2 number, since 2×101100556123² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100556127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14183998 + ... + 14191123.

It is an arithmetic number, because the mean of its divisors is an integer number (14471312220).

Almost surely, 2^101100556123 is an apocalyptic number.

101100556123 is a deficient number, since it is larger than the sum of its proper divisors (14669941637).

101100556123 is an equidigital number, since it uses as much as digits as its factorization.

101100556123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28375637.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 101100556123 its reverse (321655001101), we get a palindrome (422755557224).

The spelling of 101100556123 in words is "one hundred one billion, one hundred million, five hundred fifty-six thousand, one hundred twenty-three".