101301154400 has 144 divisors (see below), whose sum is σ = 253361908800. Its totient is φ = 39529781760.

The previous prime is 101301154387. The next prime is 101301154403. The reversal of 101301154400 is 4451103101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301154403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43308431 + ... + 43310769.

It is an arithmetic number, because the mean of its divisors is an integer number (1759457700).

Almost surely, 2^101301154400 is an apocalyptic number.

101301154400 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 101301154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126680954400).

101301154400 is an abundant number, since it is smaller than the sum of its proper divisors (152060754400).

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

101301154400 is a wasteful number, since it uses less digits than its factorization.

101301154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 101301154400 its reverse (4451103101), we get a palindrome (105752257501).

The spelling of 101301154400 in words is "one hundred one billion, three hundred one million, one hundred fifty-four thousand, four hundred".