100212200211220 has 12 divisors (see below), whose sum is σ = 210445620443604. Its totient is φ = 40084880084480.

The previous prime is 100212200211161. The next prime is 100212200211259. The reversal of 100212200211220 is 22112002212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65719460416516 + 34492739794704 = 8106754^2 + 5873052^2 .

It is a super-2 number, since 2×100212200211220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212200211194 and 100212200211203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505305005261 + ... + 2505305005300.

It is an arithmetic number, because the mean of its divisors is an integer number (17537135036967).

Almost surely, 2^{100212200211220} is an apocalyptic number.

100212200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212200211220 is an abundant number, since it is smaller than the sum of its proper divisors (110233420232384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100212200211220 is a wasteful number, since it uses less digits than its factorization.

100212200211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010610010570 (or 5010610010568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212200211220 its reverse (22112002212001), we get a palindrome (122324202423221).

The spelling of 100212200211220 in words is "one hundred trillion, two hundred twelve billion, two hundred million, two hundred eleven thousand, two hundred twenty".