101011023200 has 72 divisors (see below), whose sum is σ = 246898806840. Its totient is φ = 40354329600.

The previous prime is 101011023109. The next prime is 101011023247. The reversal of 101011023200 is 2320110101.

101011023200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570956 + ... + 726644.

It is an arithmetic number, because the mean of its divisors is an integer number (3429150095).

Almost surely, 2^101011023200 is an apocalyptic number.

101011023200 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 101011023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123449403420).

101011023200 is an abundant number, since it is smaller than the sum of its proper divisors (145887783640).

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

101011023200 is a wasteful number, since it uses less digits than its factorization.

101011023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156520 (or 156507 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101011023200 its reverse (2320110101), we get a palindrome (103331133301).

It can be divided in two parts, 10101 and 1023200, that added together give a palindrome (1033301).

The spelling of 101011023200 in words is "one hundred one billion, eleven million, twenty-three thousand, two hundred".