212011121021000 has 512 divisors, whose sum is σ = 626756436633600. Its totient is φ = 65405199974400.

The previous prime is 212011121020991. The next prime is 212011121021039. The reversal of 212011121021000 is 120121110212.

It is a super-2 number, since 2×212011121021000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 5553353912 + ... + 5553392088.

It is an arithmetic number, because the mean of its divisors is an integer number (1224133665300).

Almost surely, 2^{212011121021000} is an apocalyptic number.

212011121021000 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 212011121021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313378218316800).

212011121021000 is an abundant number, since it is smaller than the sum of its proper divisors (414745315612600).

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

212011121021000 is a wasteful number, since it uses less digits than its factorization.

212011121021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40274 (or 40260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011121021000 its reverse (120121110212), we get a palindrome (212131242131212).

The spelling of 212011121021000 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-one million, twenty-one thousand".