101001221020000 has 480 divisors, whose sum is σ = 288292280189760. Its totient is φ = 34105589760000.

The previous prime is 101001221019883. The next prime is 101001221020003. The reversal of 101001221020000 is 20122100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001221020003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3202204230 + ... + 3202235770.

It is an arithmetic number, because the mean of its divisors is an integer number (600608917062).

Almost surely, 2^{101001221020000} is an apocalyptic number.

101001221020000 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 101001221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144146140094880).

101001221020000 is an abundant number, since it is smaller than the sum of its proper divisors (187291059169760).

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

101001221020000 is an equidigital number, since it uses as much as digits as its factorization.

101001221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31924 (or 31901 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001221020000 its reverse (20122100101), we get a palindrome (101021343120101).

The spelling of 101001221020000 in words is "one hundred one trillion, one billion, two hundred twenty-one million, twenty thousand".