100212122022221 has 16 divisors (see below), whose sum is σ = 114277307596800. Its totient is φ = 87047167849200.

The previous prime is 100212122022193. The next prime is 100212122022289. The reversal of 100212122022221 is 122220221212001.

It is a cyclic number.

It is not a de Polignac number, because 100212122022221 - 2¹⁸ = 100212121760077 is a prime.

It is a super-2 number, since 2×100212122022221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212122022193 and 100212122022202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212622022221) 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, 1859955281 + ... + 1860009158.

It is an arithmetic number, because the mean of its divisors is an integer number (7142331724800).

Almost surely, 2^{100212122022221} is an apocalyptic number.

100212122022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212122022221 is a deficient number, since it is larger than the sum of its proper divisors (14065185574579).

100212122022221 is a wasteful number, since it uses less digits than its factorization.

100212122022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719964560.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100212122022221 its reverse (122220221212001), we get a palindrome (222432343234222).

The spelling of 100212122022221 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-one".