101122221211000 has 1024 divisors, whose sum is σ = 280788498432000. Its totient is φ = 33700147200000.

The previous prime is 101122221210953. The next prime is 101122221211001. The reversal of 101122221211000 is 112122221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221211001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211111108761 + ... + 211111109239.

It is an arithmetic number, because the mean of its divisors is an integer number (274207518000).

Almost surely, 2^{101122221211000} is an apocalyptic number.

101122221211000 is a gapful number since it is divisible by the number (10) 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 101122221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140394249216000).

101122221211000 is an abundant number, since it is smaller than the sum of its proper divisors (179666277221000).

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

101122221211000 is a wasteful number, since it uses less digits than its factorization.

101122221211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122221211000 its reverse (112122221101), we get a palindrome (101234343432101).

It can be divided in two parts, 1011222 and 21211000, that added together give a palindrome (22222222).

The spelling of 101122221211000 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred eleven thousand".