211122210210102 has 96 divisors (see below), whose sum is σ = 477975042417600. Its totient is φ = 67221955553280.

The previous prime is 211122210210101. The next prime is 211122210210103. The reversal of 211122210210102 is 201012012221112.

211122210210102 is a `hidden beast` number, since 21 + 1 + 122 + 210 + 210 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (211122210210101) and next prime (211122210210103).

It is a super-3 number, since 3×211122210210102³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122210210101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586161618 + ... + 1586294714.

It is an arithmetic number, because the mean of its divisors is an integer number (4978906691850).

Almost surely, 2^{211122210210102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122210210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987521208800).

211122210210102 is an abundant number, since it is smaller than the sum of its proper divisors (266852832207498).

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

211122210210102 is a wasteful number, since it uses less digits than its factorization.

211122210210102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138358 (or 138355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122210210102 its reverse (201012012221112), we get a palindrome (412134222431214).

The spelling of 211122210210102 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred two".