101201220021000 has 256 divisors, whose sum is σ = 344938060396800. Its totient is φ = 24499020288000.

The previous prime is 101201220020969. The next prime is 101201220021001. The reversal of 101201220021000 is 120022102101.

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

It is not an unprimeable number, because it can be changed into a prime (101201220021001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21234304 + ... + 25559696.

It is an arithmetic number, because the mean of its divisors is an integer number (1347414298425).

Almost surely, 2^{101201220021000} is an apocalyptic number.

101201220021000 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 101201220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172469030198400).

101201220021000 is an abundant number, since it is smaller than the sum of its proper divisors (243736840375800).

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

101201220021000 is a wasteful number, since it uses less digits than its factorization.

101201220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326137 (or 4326123 counting only the distinct ones).

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

Adding to 101201220021000 its reverse (120022102101), we get a palindrome (101321242123101).

It can be divided in two parts, 1012012 and 20021000, that added together give a palindrome (21033012).

The spelling of 101201220021000 in words is "one hundred one trillion, two hundred one billion, two hundred twenty million, twenty-one thousand".