100202021011001 has 48 divisors (see below), whose sum is σ = 125861064182784. Its totient is φ = 78093024115392.

The previous prime is 100202021010991. The next prime is 100202021011033. The reversal of 100202021011001 is 100110120202001.

It is a de Polignac number, because none of the positive numbers 2^k-100202021011001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100202021010001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2647536260 + ... + 2647574106.

It is an arithmetic number, because the mean of its divisors is an integer number (2622105503808).

Almost surely, 2^{100202021011001} is an apocalyptic number.

It is an amenable number.

100202021011001 is a deficient number, since it is larger than the sum of its proper divisors (25659043171783).

100202021011001 is a wasteful number, since it uses less digits than its factorization.

100202021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71350 (or 71337 counting only the distinct ones).

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

Adding to 100202021011001 its reverse (100110120202001), we get a palindrome (200312141213002).

The spelling of 100202021011001 in words is "one hundred trillion, two hundred two billion, twenty-one million, eleven thousand, one".