10345401100123 has 16 divisors (see below), whose sum is σ = 10684853268480. Its totient is φ = 10006308504000.

The previous prime is 10345401100103. The next prime is 10345401100171. The reversal of 10345401100123 is 32100110454301.

It is a cyclic number.

It is not a de Polignac number, because 10345401100123 - 2¹³ = 10345401091931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10345401100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869574711 + ... + 869586607.

It is an arithmetic number, because the mean of its divisors is an integer number (667803329280).

Almost surely, 2^{10345401100123} is an apocalyptic number.

10345401100123 is a deficient number, since it is larger than the sum of its proper divisors (339452168357).

10345401100123 is a wasteful number, since it uses less digits than its factorization.

10345401100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24618.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10345401100123 its reverse (32100110454301), we get a palindrome (42445511554424).

The spelling of 10345401100123 in words is "ten trillion, three hundred forty-five billion, four hundred one million, one hundred thousand, one hundred twenty-three".