211212102100020 has 96 divisors (see below), whose sum is σ = 676545933143808. Its totient is φ = 48229394307072.

The previous prime is 211212102100001. The next prime is 211212102100121. The reversal of 211212102100020 is 20001201212112.

It is a super-2 number, since 2×211212102100020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247790709 + ... + 248641628.

It is an arithmetic number, because the mean of its divisors is an integer number (7047353470248).

Almost surely, 2^{211212102100020} is an apocalyptic number.

211212102100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212102100020 is an abundant number, since it is smaller than the sum of its proper divisors (465333831043788).

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

211212102100020 is a wasteful number, since it uses less digits than its factorization.

211212102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496433369 (or 496433367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211212102100020 its reverse (20001201212112), we get a palindrome (231213303312132).

The spelling of 211212102100020 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred two million, one hundred thousand, twenty".