101405222240300 has 144 divisors (see below), whose sum is σ = 258571294377984. Its totient is φ = 34133594880000.

The previous prime is 101405222240299. The next prime is 101405222240363. The reversal of 101405222240300 is 3042222504101.

It is a self number, because there is not a number n which added to its sum of digits gives 101405222240300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63862661 + ... + 65431260.

It is an arithmetic number, because the mean of its divisors is an integer number (1795633988736).

Almost surely, 2^{101405222240300} is an apocalyptic number.

101405222240300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101405222240300 is an abundant number, since it is smaller than the sum of its proper divisors (157166072137684).

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

101405222240300 is a wasteful number, since it uses less digits than its factorization.

101405222240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129294000 (or 129293993 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 101405222240300 its reverse (3042222504101), we get a palindrome (104447444744401).

The spelling of 101405222240300 in words is "one hundred one trillion, four hundred five billion, two hundred twenty-two million, two hundred forty thousand, three hundred".