211122010020 has 96 divisors (see below), whose sum is σ = 623194177536. Its totient is φ = 53323862400.

The previous prime is 211122010009. The next prime is 211122010037. The reversal of 211122010020 is 20010221112.

It is a super-2 number, since 2×211122010020² (a number of 23 digits) contains 22 as substring.

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 = 211122009978 and 211122010005.

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, 1120096 + ... + 1294935.

It is an arithmetic number, because the mean of its divisors is an integer number (6491606016).

Almost surely, 2^211122010020 is an apocalyptic number.

211122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122010020 is an abundant number, since it is smaller than the sum of its proper divisors (412072167516).

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

211122010020 is a wasteful number, since it uses less digits than its factorization.

211122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415121 (or 2415119 counting only the distinct ones).

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

Adding to 211122010020 its reverse (20010221112), we get a palindrome (231132231132).

The spelling of 211122010020 in words is "two hundred eleven billion, one hundred twenty-two million, ten thousand, twenty".