10102011113123 has 8 divisors (see below), whose sum is σ = 10138990135008. Its totient is φ = 10065035758464.

The previous prime is 10102011113107. The next prime is 10102011113137. The reversal of 10102011113123 is 32131111020101.

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 10102011113123 - 2⁴ = 10102011113107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102011113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4664690 + ... + 6477912.

It is an arithmetic number, because the mean of its divisors is an integer number (1267373766876).

Almost surely, 2^{10102011113123} is an apocalyptic number.

10102011113123 is a deficient number, since it is larger than the sum of its proper divisors (36979021885).

10102011113123 is a wasteful number, since it uses less digits than its factorization.

10102011113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833613.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10102011113123 its reverse (32131111020101), we get a palindrome (42233122133224).

The spelling of 10102011113123 in words is "ten trillion, one hundred two billion, eleven million, one hundred thirteen thousand, one hundred twenty-three".