100212101021221 has 16 divisors (see below), whose sum is σ = 115425355972608. Its totient is φ = 85223417338800.

The previous prime is 100212101021183. The next prime is 100212101021261. The reversal of 100212101021221 is 122120101212001.

It is a cyclic number.

It is not a de Polignac number, because 100212101021221 - 2²⁹ = 100211564150309 is a prime.

It is a super-3 number, since 3×100212101021221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212101021195 and 100212101021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212101021261) 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, 6272125 + ... + 15484306.

It is an arithmetic number, because the mean of its divisors is an integer number (7214084748288).

Almost surely, 2^{100212101021221} is an apocalyptic number.

It is an amenable number.

100212101021221 is a deficient number, since it is larger than the sum of its proper divisors (15213254951387).

100212101021221 is a wasteful number, since it uses less digits than its factorization.

100212101021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21761592.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212101021221 its reverse (122120101212001), we get a palindrome (222332202233222).

The spelling of 100212101021221 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, twenty-one thousand, two hundred twenty-one".