10100201010123 has 48 divisors (see below), whose sum is σ = 16094368389120. Its totient is φ = 5613686576064.

The previous prime is 10100201010101. The next prime is 10100201010139. The reversal of 10100201010123 is 32101010200101.

It is not a de Polignac number, because 10100201010123 - 2²⁵ = 10100167455691 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100201010099 and 10100201010108.

It is not an unprimeable number, because it can be changed into a prime (10100201010623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16112790 + ... + 16727892.

It is an arithmetic number, because the mean of its divisors is an integer number (335299341440).

Almost surely, 2^{10100201010123} is an apocalyptic number.

10100201010123 is a deficient number, since it is larger than the sum of its proper divisors (5994167378997).

10100201010123 is a wasteful number, since it uses less digits than its factorization.

10100201010123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618176 (or 618169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100201010123 its reverse (32101010200101), we get a palindrome (42201211210224).

The spelling of 10100201010123 in words is "ten trillion, one hundred billion, two hundred one million, ten thousand, one hundred twenty-three".