101101013023200 has 288 divisors, whose sum is σ = 343474009756416. Its totient is φ = 25781909852160.

The previous prime is 101101013023163. The next prime is 101101013023217. The reversal of 101101013023200 is 2320310101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101013023200.

It is a congruent number.

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, 232561239 + ... + 232995561.

It is an arithmetic number, because the mean of its divisors is an integer number (1192618089432).

Almost surely, 2^{101101013023200} is an apocalyptic number.

101101013023200 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 101101013023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171737004878208).

101101013023200 is an abundant number, since it is smaller than the sum of its proper divisors (242372996733216).

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

101101013023200 is a wasteful number, since it uses less digits than its factorization.

101101013023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438586 (or 438573 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101101013023200 its reverse (2320310101101), we get a palindrome (103421323124301).

The spelling of 101101013023200 in words is "one hundred one trillion, one hundred one billion, thirteen million, twenty-three thousand, two hundred".