211122201201000 has 128 divisors (see below), whose sum is σ = 659053343669760. Its totient is φ = 56269161696000.

The previous prime is 211122201200971. The next prime is 211122201201053. The reversal of 211122201201000 is 102102221112.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13193539 + ... + 24419538.

It is an arithmetic number, because the mean of its divisors is an integer number (5148854247420).

Almost surely, 2^{211122201201000} is an apocalyptic number.

211122201201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122201201000 is an abundant number, since it is smaller than the sum of its proper divisors (447931142468760).

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

211122201201000 is a wasteful number, since it uses less digits than its factorization.

211122201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37614972 (or 37614958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122201201000 its reverse (102102221112), we get a palindrome (211224303422112).

The spelling of 211122201201000 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred one million, two hundred one thousand".