101201220000 has 720 divisors, whose sum is σ = 383169346560. Its totient is φ = 25256448000.

The previous prime is 101201219969. The next prime is 101201220011. The reversal of 101201220000 is 22102101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 434339884 + ... + 434340116.

It is an arithmetic number, because the mean of its divisors is an integer number (532179648).

Almost surely, 2^101201220000 is an apocalyptic number.

101201220000 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 101201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191584673280).

101201220000 is an abundant number, since it is smaller than the sum of its proper divisors (281968126560).

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

101201220000 is a wasteful number, since it uses less digits than its factorization.

101201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101201220000 its reverse (22102101), we get a palindrome (101223322101).

It can be divided in two parts, 101201 and 220000, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 101201220000 in words is "one hundred one billion, two hundred one million, two hundred twenty thousand".