211112020122102 has 128 divisors (see below), whose sum is σ = 522381610598400. Its totient is φ = 62656979824800.

The previous prime is 211112020122071. The next prime is 211112020122137. The reversal of 211112020122102 is 201221020211112.

211112020122102 is a `hidden beast` number, since 211 + 11 + 20 + 201 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616658 + ... + 20611589.

It is an arithmetic number, because the mean of its divisors is an integer number (4081106332800).

Almost surely, 2^{211112020122102} is an apocalyptic number.

211112020122102 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 211112020122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261190805299200).

211112020122102 is an abundant number, since it is smaller than the sum of its proper divisors (311269590476298).

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

211112020122102 is a wasteful number, since it uses less digits than its factorization.

211112020122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228599 (or 22228593 counting only the distinct ones).

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

Adding to 211112020122102 its reverse (201221020211112), we get a palindrome (412333040333214).

It can be divided in two parts, 2111120 and 20122102, that added together give a palindrome (22233222).

The spelling of 211112020122102 in words is "two hundred eleven trillion, one hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred two".