100102001112002 has 16 divisors (see below), whose sum is σ = 150521476246200. Its totient is φ = 49928177896320.

The previous prime is 100102001111969. The next prime is 100102001112079. The reversal of 100102001112002 is 200211100201001.

100102001112002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90204804659641 + 9897196452361 = 9497621^2 + 3145981^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102310352 + ... + 103284132.

Almost surely, 2^{100102001112002} is an apocalyptic number.

100102001112002 is a deficient number, since it is larger than the sum of its proper divisors (50419475134198).

100102001112002 is a wasteful number, since it uses less digits than its factorization.

100102001112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099861.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102001112002 its reverse (200211100201001), we get a palindrome (300313101313003).

The spelling of 100102001112002 in words is "one hundred trillion, one hundred two billion, one million, one hundred twelve thousand, two".