202121311311120 has 320 divisors, whose sum is σ = 634331600179200. Its totient is φ = 53237013755904.

The previous prime is 202121311311103. The next prime is 202121311311167. The reversal of 202121311311120 is 21113113121202.

It is a super-2 number, since 2×202121311311120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4184768731 + ... + 4184817029.

It is an arithmetic number, because the mean of its divisors is an integer number (1982286250560).

Almost surely, 2^{202121311311120} is an apocalyptic number.

202121311311120 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 202121311311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317165800089600).

202121311311120 is an abundant number, since it is smaller than the sum of its proper divisors (432210288868080).

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

202121311311120 is a wasteful number, since it uses less digits than its factorization.

202121311311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49142 (or 49136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 202121311311120 its reverse (21113113121202), we get a palindrome (223234424432322).

The spelling of 202121311311120 in words is "two hundred two trillion, one hundred twenty-one billion, three hundred eleven million, three hundred eleven thousand, one hundred twenty".