211012102233120 has 384 divisors, whose sum is σ = 691725186367488. Its totient is φ = 54012223180800.

The previous prime is 211012102233109. The next prime is 211012102233131. The reversal of 211012102233120 is 21332201210112.

211012102233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211012102233109) and next prime (211012102233131).

It is a super-2 number, since 2×211012102233120² (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, 1031423959 + ... + 1031628521.

It is an arithmetic number, because the mean of its divisors is an integer number (1801367672832).

Almost surely, 2^{211012102233120} is an apocalyptic number.

211012102233120 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 211012102233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345862593183744).

211012102233120 is an abundant number, since it is smaller than the sum of its proper divisors (480713084134368).

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

211012102233120 is a wasteful number, since it uses less digits than its factorization.

211012102233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205176 (or 205168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211012102233120 its reverse (21332201210112), we get a palindrome (232344303443232).

The spelling of 211012102233120 in words is "two hundred eleven trillion, twelve billion, one hundred two million, two hundred thirty-three thousand, one hundred twenty".