211020102120 has 128 divisors (see below), whose sum is σ = 637679738880. Its totient is φ = 55861920000.

The previous prime is 211020102113. The next prime is 211020102131. The reversal of 211020102120 is 21201020112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211020102096 and 211020102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36436425 + ... + 36442215.

It is an arithmetic number, because the mean of its divisors is an integer number (4981872960).

Almost surely, 2^211020102120 is an apocalyptic number.

211020102120 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 211020102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318839869440).

211020102120 is an abundant number, since it is smaller than the sum of its proper divisors (426659636760).

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

211020102120 is a wasteful number, since it uses less digits than its factorization.

211020102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211020102120 its reverse (21201020112), we get a palindrome (232221122232).

The spelling of 211020102120 in words is "two hundred eleven billion, twenty million, one hundred two thousand, one hundred twenty".