100212133001321 has 16 divisors (see below), whose sum is σ = 118009108517760. Its totient is φ = 84136123653120.

The previous prime is 100212133001311. The next prime is 100212133001359. The reversal of 100212133001321 is 123100331212001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100212133001321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212133001293 and 100212133001302.

It is not an unprimeable number, because it can be changed into a prime (100212133001311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6829223480 + ... + 6829238153.

It is an arithmetic number, because the mean of its divisors is an integer number (7375569282360).

Almost surely, 2^{100212133001321} is an apocalyptic number.

100212133001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212133001321 is a deficient number, since it is larger than the sum of its proper divisors (17796975516439).

100212133001321 is a wasteful number, since it uses less digits than its factorization.

100212133001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13658461696.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100212133001321 its reverse (123100331212001), we get a palindrome (223312464213322).

The spelling of 100212133001321 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty-three million, one thousand, three hundred twenty-one".