211022120100000 has 288 divisors, whose sum is σ = 755314939374912. Its totient is φ = 51156876800000.

The previous prime is 211022120099993. The next prime is 211022120100007. The reversal of 211022120100000 is 1021220112.

It is an interprime number because it is at equal distance from previous prime (211022120099993) and next prime (211022120100007).

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

It is not an unprimeable number, because it can be changed into a prime (211022120100007) 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, 28673049 + ... + 35273048.

It is an arithmetic number, because the mean of its divisors is an integer number (2622621317274).

Almost surely, 2^{211022120100000} is an apocalyptic number.

211022120100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022120100000 is an abundant number, since it is smaller than the sum of its proper divisors (544292819274912).

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

211022120100000 is an equidigital number, since it uses as much as digits as its factorization.

211022120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63946146 (or 63946118 counting only the distinct ones).

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

Adding to 211022120100000 its reverse (1021220112), we get a palindrome (211023141320112).

The spelling of 211022120100000 in words is "two hundred eleven trillion, twenty-two billion, one hundred twenty million, one hundred thousand".