100212002100221 has 32 divisors (see below), whose sum is σ = 114643900177920. Its totient is φ = 86804740339200.

The previous prime is 100212002100191. The next prime is 100212002100283. The reversal of 100212002100221 is 122001200212001.

It is a cyclic number.

It is not a de Polignac number, because 100212002100221 - 2⁴⁶ = 29843257922557 is a prime.

It is a super-2 number, since 2×100212002100221² (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 = 100212002100196 and 100212002100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212002100521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15025160 + ... + 20644113.

It is an arithmetic number, because the mean of its divisors is an integer number (3582621880560).

Almost surely, 2^{100212002100221} is an apocalyptic number.

100212002100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212002100221 is a deficient number, since it is larger than the sum of its proper divisors (14431898077699).

100212002100221 is a wasteful number, since it uses less digits than its factorization.

100212002100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35669477.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212002100221 its reverse (122001200212001), we get a palindrome (222213202312222).

The spelling of 100212002100221 in words is "one hundred trillion, two hundred twelve billion, two million, one hundred thousand, two hundred twenty-one".