10102102100106 has 32 divisors (see below), whose sum is σ = 20586275789760. Its totient is φ = 3303694078464.

The previous prime is 10102102100023. The next prime is 10102102100137. The reversal of 10102102100106 is 60100120120101.

It is a happy number.

It is a super-3 number, since 3×10102102100106³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7100986 + ... + 8404058.

It is an arithmetic number, because the mean of its divisors is an integer number (643321118430).

Almost surely, 2^{10102102100106} is an apocalyptic number.

10102102100106 is an abundant number, since it is smaller than the sum of its proper divisors (10484173689654).

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

10102102100106 is a wasteful number, since it uses less digits than its factorization.

10102102100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327510.

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

Adding to 10102102100106 its reverse (60100120120101), we get a palindrome (70202222220207).

The spelling of 10102102100106 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thousand, one hundred six".