101320101000 has 192 divisors, whose sum is σ = 342850313520. Its totient is φ = 26988057600.

The previous prime is 101320100951. The next prime is 101320101013. The reversal of 101320101000 is 101023101.

It can be written as a sum of positive squares in 8 ways, for example, as 702992196 + 100617108804 = 26514^2 + 317202^2 .

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 47 ways as a sum of consecutive naturals, for example, 8571094 + ... + 8582906.

Almost surely, 2^101320101000 is an apocalyptic number.

101320101000 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 101320101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171425156760).

101320101000 is an abundant number, since it is smaller than the sum of its proper divisors (241530212520).

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

101320101000 is a wasteful number, since it uses less digits than its factorization.

101320101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793 (or 12776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101320101000 its reverse (101023101), we get a palindrome (101421124101).

The spelling of 101320101000 in words is "one hundred one billion, three hundred twenty million, one hundred one thousand".