100202012202112 has 16 divisors (see below), whose sum is σ = 199621196184150. Its totient is φ = 50101006100992.

The previous prime is 100202012202067. The next prime is 100202012202167. The reversal of 100202012202112 is 211202210202001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61974303885376 + 38227708316736 = 7872376^2 + 6182856^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391414110037 + ... + 391414110292.

Almost surely, 2^{100202012202112} is an apocalyptic number.

It is an amenable number.

100202012202112 is a deficient number, since it is larger than the sum of its proper divisors (99419183982038).

100202012202112 is an frugal number, since it uses more digits than its factorization.

100202012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782828220343 (or 782828220331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100202012202112 its reverse (211202210202001), we get a palindrome (311404222404113).

The spelling of 100202012202112 in words is "one hundred trillion, two hundred two billion, twelve million, two hundred two thousand, one hundred twelve".