10101540331300 has 144 divisors (see below), whose sum is σ = 24159005724672. Its totient is φ = 3635554665600.

The previous prime is 10101540331279. The next prime is 10101540331301. The reversal of 10101540331300 is 313304510101.

It is a super-2 number, since 2×10101540331300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10101540331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206521447 + ... + 206570353.

It is an arithmetic number, because the mean of its divisors is an integer number (167770873088).

Almost surely, 2^{10101540331300} is an apocalyptic number.

10101540331300 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 10101540331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079502862336).

10101540331300 is an abundant number, since it is smaller than the sum of its proper divisors (14057465393372).

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

10101540331300 is a wasteful number, since it uses less digits than its factorization.

10101540331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50858 (or 50851 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 10101540331300 its reverse (313304510101), we get a palindrome (10414844841401).

The spelling of 10101540331300 in words is "ten trillion, one hundred one billion, five hundred forty million, three hundred thirty-one thousand, three hundred".