212121101101000 has 512 divisors, whose sum is σ = 643442021913600. Its totient is φ = 63561928089600.

The previous prime is 212121101100971. The next prime is 212121101101043. The reversal of 212121101101000 is 101101121212.

It is a happy number.

It is a super-3 number, since 3×212121101101000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2996321604 + ... + 2996392396.

It is an arithmetic number, because the mean of its divisors is an integer number (1256722699050).

Almost surely, 2^{212121101101000} is an apocalyptic number.

212121101101000 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 212121101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321721010956800).

212121101101000 is an abundant number, since it is smaller than the sum of its proper divisors (431320920812600).

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

212121101101000 is a wasteful number, since it uses less digits than its factorization.

212121101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72586 (or 72572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212121101101000 its reverse (101101121212), we get a palindrome (212222202222212).

The spelling of 212121101101000 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand".