101334405035200 has 168 divisors, whose sum is σ = 258045287058000. Its totient is φ = 39120694824960.

The previous prime is 101334405035183. The next prime is 101334405035203. The reversal of 101334405035200 is 2530504433101.

It is a super-2 number, since 2×101334405035200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101334405035203) 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, 118217751 + ... + 119071849.

Almost surely, 2^{101334405035200} is an apocalyptic number.

101334405035200 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 101334405035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129022643529000).

101334405035200 is an abundant number, since it is smaller than the sum of its proper divisors (156710882022800).

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

101334405035200 is a wasteful number, since it uses less digits than its factorization.

101334405035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856707 (or 856692 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 101334405035200 its reverse (2530504433101), we get a palindrome (103864909468301).

The spelling of 101334405035200 in words is "one hundred one trillion, three hundred thirty-four billion, four hundred five million, thirty-five thousand, two hundred".