10100510106008 has 32 divisors (see below), whose sum is σ = 21644235125760. Its totient is φ = 4328733065760.

The previous prime is 10100510105929. The next prime is 10100510106017. The reversal of 10100510106008 is 80060101500101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252185 + ... + 5547767.

It is an arithmetic number, because the mean of its divisors is an integer number (676382347680).

Almost surely, 2^{10100510106008} is an apocalyptic number.

It is an amenable number.

10100510106008 is an abundant number, since it is smaller than the sum of its proper divisors (11543725019752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100510106008 is a wasteful number, since it uses less digits than its factorization.

10100510106008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374167 (or 2374163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 10100510106008 its reverse (80060101500101), we get a palindrome (90160611606109).

The spelling of 10100510106008 in words is "ten trillion, one hundred billion, five hundred ten million, one hundred six thousand, eight".