10201012100106 has 64 divisors (see below), whose sum is σ = 21418536222720. Its totient is φ = 3232734753600.

The previous prime is 10201012100051. The next prime is 10201012100113. The reversal of 10201012100106 is 60100121010201.

It is a happy number.

10201012100106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201012100106² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50612631 + ... + 50813781.

It is an arithmetic number, because the mean of its divisors is an integer number (334664628480).

Almost surely, 2^{10201012100106} is an apocalyptic number.

10201012100106 is an abundant number, since it is smaller than the sum of its proper divisors (11217524122614).

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

10201012100106 is a wasteful number, since it uses less digits than its factorization.

10201012100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203411.

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

Adding to 10201012100106 its reverse (60100121010201), we get a palindrome (70301133110307).

The spelling of 10201012100106 in words is "ten trillion, two hundred one billion, twelve million, one hundred thousand, one hundred six".