211122221101020 has 96 divisors (see below), whose sum is σ = 657218706681600. Its totient is φ = 56265485919552.

The previous prime is 211122221101013. The next prime is 211122221101031. The reversal of 211122221101020 is 20101122221112.

211122221101020 is a `hidden beast` number, since 211 + 1 + 222 + 211 + 0 + 1 + 0 + 20 = 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 = 211122221100984 and 211122221101002.

It is a congruent number.

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, 116366490 + ... + 118166849.

It is an arithmetic number, because the mean of its divisors is an integer number (6846028194600).

Almost surely, 2^{211122221101020} is an apocalyptic number.

211122221101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122221101020 is an abundant number, since it is smaller than the sum of its proper divisors (446096485580580).

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

211122221101020 is a wasteful number, since it uses less digits than its factorization.

211122221101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234535024 (or 234535016 counting only the distinct ones).

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

Adding to 211122221101020 its reverse (20101122221112), we get a palindrome (231223343322132).

The spelling of 211122221101020 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, twenty".