1020212121200 has 120 divisors (see below), whose sum is σ = 2580970692720. Its totient is φ = 386470656000.

The previous prime is 1020212121167. The next prime is 1020212121221. The reversal of 1020212121200 is 21212120201.

It is a super-4 number, since 4×1020212121200⁴ (a number of 49 digits) contains 4444 as substring.

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 23 ways as a sum of consecutive naturals, for example, 23059100 + ... + 23103300.

It is an arithmetic number, because the mean of its divisors is an integer number (21508089106).

Almost surely, 2^{1020212121200} is an apocalyptic number.

1020212121200 is a gapful number since it is divisible by the number (10) 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 1020212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290485346360).

1020212121200 is an abundant number, since it is smaller than the sum of its proper divisors (1560758571520).

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

1020212121200 is a wasteful number, since it uses less digits than its factorization.

1020212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47275 (or 47264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020212121200 its reverse (21212120201), we get a palindrome (1041424241401).

Subtracting from 1020212121200 its reverse (21212120201), we obtain a palindrome (999000000999).

The spelling of 1020212121200 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".