211032010102122 has 192 divisors, whose sum is σ = 531235433664000. Its totient is φ = 59835892746240.

The previous prime is 211032010102103. The next prime is 211032010102187. The reversal of 211032010102122 is 221201010230112.

211032010102122 is a `hidden beast` number, since 2 + 110 + 320 + 10 + 10 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211032010102095 and 211032010102104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521638879 + ... + 522043277.

It is an arithmetic number, because the mean of its divisors is an integer number (2766851217000).

Almost surely, 2^{211032010102122} is an apocalyptic number.

211032010102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211032010102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265617716832000).

211032010102122 is an abundant number, since it is smaller than the sum of its proper divisors (320203423561878).

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

211032010102122 is a wasteful number, since it uses less digits than its factorization.

211032010102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405341 (or 405338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211032010102122 its reverse (221201010230112), we get a palindrome (432233020332234).

The spelling of 211032010102122 in words is "two hundred eleven trillion, thirty-two billion, ten million, one hundred two thousand, one hundred twenty-two".