100021212110001 has 256 divisors, whose sum is σ = 188314476134400. Its totient is φ = 45665274396672.

The previous prime is 100021212109999. The next prime is 100021212110009. The reversal of 100021212110001 is 100011212120001.

It is not a de Polignac number, because 100021212110001 - 2¹ = 100021212109999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100021212110009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1432256581 + ... + 1432326413.

It is an arithmetic number, because the mean of its divisors is an integer number (735603422400).

Almost surely, 2^{100021212110001} is an apocalyptic number.

It is an amenable number.

100021212110001 is a deficient number, since it is larger than the sum of its proper divisors (88293264024399).

100021212110001 is a wasteful number, since it uses less digits than its factorization.

100021212110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70368.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100021212110001 its reverse (100011212120001), we get a palindrome (200032424230002).

The spelling of 100021212110001 in words is "one hundred trillion, twenty-one billion, two hundred twelve million, one hundred ten thousand, one".