101221000122000 has 640 divisors, whose sum is σ = 367955390919168. Its totient is φ = 23723062272000.

The previous prime is 101221000121999. The next prime is 101221000122023. The reversal of 101221000122000 is 221000122101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383261994 + ... + 383526006.

Almost surely, 2^{101221000122000} is an apocalyptic number.

101221000122000 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 101221000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183977695459584).

101221000122000 is an abundant number, since it is smaller than the sum of its proper divisors (266734390797168).

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

101221000122000 is a wasteful number, since it uses less digits than its factorization.

101221000122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264244 (or 264228 counting only the distinct ones).

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

Adding to 101221000122000 its reverse (221000122101), we get a palindrome (101442000244101).

The spelling of 101221000122000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two thousand".