101221101111000 has 512 divisors, whose sum is σ = 343934964172800. Its totient is φ = 24635974809600.

The previous prime is 101221101110971. The next prime is 101221101111001. The reversal of 101221101111000 is 111101122101.

It is a super-2 number, since 2×101221101111000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221101111001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2647183882 + ... + 2647222118.

It is an arithmetic number, because the mean of its divisors is an integer number (671747976900).

Almost surely, 2^{101221101111000} is an apocalyptic number.

101221101111000 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 101221101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171967482086400).

101221101111000 is an abundant number, since it is smaller than the sum of its proper divisors (242713863061800).

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

101221101111000 is a wasteful number, since it uses less digits than its factorization.

101221101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39036 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101221101111000 its reverse (111101122101), we get a palindrome (101332202233101).

The spelling of 101221101111000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred eleven thousand".