212101102000000 has 224 divisors, whose sum is σ = 533303122070160. Its totient is φ = 84016665600000.

The previous prime is 212101101999979. The next prime is 212101102000033. The reversal of 212101102000000 is 201101212.

It is a super-2 number, since 2×212101102000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 205485192 + ... + 206514808.

Almost surely, 2^{212101102000000} is an apocalyptic number.

212101102000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266651561035080).

212101102000000 is an abundant number, since it is smaller than the sum of its proper divisors (321202020070160).

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

212101102000000 is an frugal number, since it uses more digits than its factorization.

212101102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029764 (or 1029727 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212101102000000 its reverse (201101212), we get a palindrome (212101303101212).

The spelling of 212101102000000 in words is "two hundred twelve trillion, one hundred one billion, one hundred two million", and thus it is an aban number.