100202210100201 has 128 divisors (see below), whose sum is σ = 160962935242752. Its totient is φ = 54735851520000.

The previous prime is 100202210100199. The next prime is 100202210100241. The reversal of 100202210100201 is 102001012202001.

It is not a de Polignac number, because 100202210100201 - 2¹ = 100202210100199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202210100241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3542828206 + ... + 3542856488.

It is an arithmetic number, because the mean of its divisors is an integer number (1257522931584).

Almost surely, 2^{100202210100201} is an apocalyptic number.

100202210100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202210100201 is a deficient number, since it is larger than the sum of its proper divisors (60760725142551).

100202210100201 is a wasteful number, since it uses less digits than its factorization.

100202210100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100202210100201 its reverse (102001012202001), we get a palindrome (202203222302202).

The spelling of 100202210100201 in words is "one hundred trillion, two hundred two billion, two hundred ten million, one hundred thousand, two hundred one".