101020320000 has 810 divisors, whose sum is σ = 381238063206. Its totient is φ = 25712640000.

The previous prime is 101020319947. The next prime is 101020320013. The reversal of 101020320000 is 23020101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 36276535296 + 64743784704 = 190464^2 + 254448^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1383839964 + ... + 1383840036.

Almost surely, 2^101020320000 is an apocalyptic number.

101020320000 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 101020320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190619031603).

101020320000 is an abundant number, since it is smaller than the sum of its proper divisors (280217743206).

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

101020320000 is an frugal number, since it uses more digits than its factorization.

101020320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101020320000 its reverse (23020101), we get a palindrome (101043340101).

The spelling of 101020320000 in words is "one hundred one billion, twenty million, three hundred twenty thousand".