100010212100201 has 16 divisors (see below), whose sum is σ = 114071782550544. Its totient is φ = 86861565886464.

The previous prime is 100010212100033. The next prime is 100010212100203. The reversal of 100010212100201 is 102001212010001.

It can be written as a sum of positive squares in 8 ways, for example, as 46147837968400 + 53862374131801 = 6793220^2 + 7339099^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010212100201 - 2²² = 100010207905897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010212100203) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64687970 + ... + 66215963.

It is an arithmetic number, because the mean of its divisors is an integer number (7129486409409).

Almost surely, 2^{100010212100201} is an apocalyptic number.

It is an amenable number.

100010212100201 is a deficient number, since it is larger than the sum of its proper divisors (14061570450343).

100010212100201 is a wasteful number, since it uses less digits than its factorization.

100010212100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130907420.

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

Adding to 100010212100201 its reverse (102001212010001), we get a palindrome (202011424110202).

The spelling of 100010212100201 in words is "one hundred trillion, ten billion, two hundred twelve million, one hundred thousand, two hundred one".