100201102201012 has 12 divisors (see below), whose sum is σ = 175425575205636. Its totient is φ = 50079509285120.

The previous prime is 100201102201001. The next prime is 100201102201069. The reversal of 100201102201012 is 210102201102001.

It can be written as a sum of positive squares in 2 ways, for example, as 15546271151376 + 84654831049636 = 3942876^2 + 9200806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201102200983 and 100201102201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5260443133 + ... + 5260462180.

It is an arithmetic number, because the mean of its divisors is an integer number (14618797933803).

Almost surely, 2^{100201102201012} is an apocalyptic number.

It is an amenable number.

100201102201012 is a deficient number, since it is larger than the sum of its proper divisors (75224473004624).

100201102201012 is a wasteful number, since it uses less digits than its factorization.

100201102201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520907698 (or 10520907696 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201102201012 its reverse (210102201102001), we get a palindrome (310303303303013).

The spelling of 100201102201012 in words is "one hundred trillion, two hundred one billion, one hundred two million, two hundred one thousand, twelve".