10102102100123 has 8 divisors (see below), whose sum is σ = 11600500019520. Its totient is φ = 8700375014280.

The previous prime is 10102102100023. The next prime is 10102102100137. The reversal of 10102102100123 is 32100120120101.

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-10102102100123 is a prime.

It is a super-3 number, since 3×10102102100123³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102102100098 and 10102102100107.

It is not an unprimeable number, because it can be changed into a prime (10102102100023) 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, 24167708165 + ... + 24167708582.

It is an arithmetic number, because the mean of its divisors is an integer number (1450062502440).

Almost surely, 2^{10102102100123} is an apocalyptic number.

10102102100123 is a deficient number, since it is larger than the sum of its proper divisors (1498397919397).

10102102100123 is a wasteful number, since it uses less digits than its factorization.

10102102100123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48335416777.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10102102100123 its reverse (32100120120101), we get a palindrome (42202222220224).

The spelling of 10102102100123 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thousand, one hundred twenty-three".