101122212121000 has 256 divisors, whose sum is σ = 275659818969600. Its totient is φ = 34006360320000.

The previous prime is 101122212120991. The next prime is 101122212121019. The reversal of 101122212121000 is 121212221101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74980636 + ... + 76317364.

It is an arithmetic number, because the mean of its divisors is an integer number (1076796167850).

Almost surely, 2^{101122212121000} is an apocalyptic number.

101122212121000 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 101122212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137829909484800).

101122212121000 is an abundant number, since it is smaller than the sum of its proper divisors (174537606848600).

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

101122212121000 is a wasteful number, since it uses less digits than its factorization.

101122212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336965 (or 1336951 counting only the distinct ones).

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

Adding to 101122212121000 its reverse (121212221101), we get a palindrome (101243424342101).

It can be divided in two parts, 10112221 and 2121000, that added together give a palindrome (12233221).

The spelling of 101122212121000 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand".