100106101002 has 64 divisors (see below), whose sum is σ = 220527360000. Its totient is φ = 30153486528.

The previous prime is 100106100967. The next prime is 100106101033. The reversal of 100106101002 is 200101601001.

It is a happy 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, 888124 + ... + 994472.

It is an arithmetic number, because the mean of its divisors is an integer number (3445740000).

Almost surely, 2^100106101002 is an apocalyptic number.

100106101002 is an abundant number, since it is smaller than the sum of its proper divisors (120421258998).

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

100106101002 is a wasteful number, since it uses less digits than its factorization.

100106101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106755.

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

Adding to 100106101002 its reverse (200101601001), we get a palindrome (300207702003).

The spelling of 100106101002 in words is "one hundred billion, one hundred six million, one hundred one thousand, two".