10121120100123 has 16 divisors (see below), whose sum is σ = 13751661240576. Its totient is φ = 6619037199840.

The previous prime is 10121120100109. The next prime is 10121120100139. The reversal of 10121120100123 is 32100102112101.

It is a de Polignac number, because none of the positive numbers 2^k-10121120100123 is a prime.

It is a super-3 number, since 3×10121120100123³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10121120100163) 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, 4136815 + ... + 6111912.

It is an arithmetic number, because the mean of its divisors is an integer number (859478827536).

Almost surely, 2^{10121120100123} is an apocalyptic number.

10121120100123 is a deficient number, since it is larger than the sum of its proper divisors (3630541140453).

10121120100123 is a wasteful number, since it uses less digits than its factorization.

10121120100123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254994.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121120100123 its reverse (32100102112101), we get a palindrome (42221222212224).

The spelling of 10121120100123 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, one hundred twenty-three".