100202021332101 has 64 divisors (see below), whose sum is σ = 164233973836800. Its totient is φ = 60350806586304.

The previous prime is 100202021332079. The next prime is 100202021332139. The reversal of 100202021332101 is 101233120202001.

100202021332101 is a `hidden beast` number, since 10 + 0 + 20 + 202 + 1 + 332 + 101 = 666.

It is not a de Polignac number, because 100202021332101 - 2¹³ = 100202021323909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202021332181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15182286 + ... + 20758271.

It is an arithmetic number, because the mean of its divisors is an integer number (2566155841200).

Almost surely, 2^{100202021332101} is an apocalyptic number.

It is an amenable number.

100202021332101 is a deficient number, since it is larger than the sum of its proper divisors (64031952504699).

100202021332101 is an equidigital number, since it uses as much as digits as its factorization.

100202021332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940652 (or 35940620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100202021332101 its reverse (101233120202001), we get a palindrome (201435141534102).

The spelling of 100202021332101 in words is "one hundred trillion, two hundred two billion, twenty-one million, three hundred thirty-two thousand, one hundred one".