100212102112221 has 72 divisors (see below), whose sum is σ = 167867978675904. Its totient is φ = 57120145443840.

The previous prime is 100212102112207. The next prime is 100212102112307. The reversal of 100212102112221 is 122211201212001.

100212102112221 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 210 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 100212102112221 - 2⁷ = 100212102112093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212102112194 and 100212102112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102192221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37830121 + ... + 40392353.

It is an arithmetic number, because the mean of its divisors is an integer number (2331499703832).

Almost surely, 2^{100212102112221} is an apocalyptic number.

100212102112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212102112221 is a deficient number, since it is larger than the sum of its proper divisors (67655876563683).

100212102112221 is a wasteful number, since it uses less digits than its factorization.

100212102112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563651 (or 2563631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212102112221 its reverse (122211201212001), we get a palindrome (222423303324222).

The spelling of 100212102112221 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, two hundred twenty-one".