211024024231020 has 384 divisors, whose sum is σ = 793915487188992. Its totient is φ = 40446380851200.

The previous prime is 211024024230989. The next prime is 211024024231039. The reversal of 211024024231020 is 20132420420112.

It is a super-2 number, since 2×211024024231020² (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 127 ways as a sum of consecutive naturals, for example, 80450862 + ... + 83032458.

It is an arithmetic number, because the mean of its divisors is an integer number (2067488247888).

Almost surely, 2^{211024024231020} is an apocalyptic number.

211024024231020 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 211024024231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396957743594496).

211024024231020 is an abundant number, since it is smaller than the sum of its proper divisors (582891462957972).

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

211024024231020 is a wasteful number, since it uses less digits than its factorization.

211024024231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583001 (or 2582999 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211024024231020 its reverse (20132420420112), we get a palindrome (231156444651132).

The spelling of 211024024231020 in words is "two hundred eleven trillion, twenty-four billion, twenty-four million, two hundred thirty-one thousand, twenty".