100021110201001 has 8 divisors (see below), whose sum is σ = 109166321497824. Its totient is φ = 90884629420320.

The previous prime is 100021110200969. The next prime is 100021110201011. The reversal of 100021110201001 is 100102011120001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021110201001 - 2⁵ = 100021110200969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100021110201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2182605076 + ... + 2182650901.

It is an arithmetic number, because the mean of its divisors is an integer number (13645790187228).

Almost surely, 2^{100021110201001} is an apocalyptic number.

100021110201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021110201001 is a deficient number, since it is larger than the sum of its proper divisors (9145211296823).

100021110201001 is a wasteful number, since it uses less digits than its factorization.

100021110201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365258071.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100021110201001 its reverse (100102011120001), we get a palindrome (200123121321002).

The spelling of 100021110201001 in words is "one hundred trillion, twenty-one billion, one hundred ten million, two hundred one thousand, one".