101414351300 has 18 divisors (see below), whose sum is σ = 220069142538. Its totient is φ = 40565740480.

The previous prime is 101414351293. The next prime is 101414351351. The reversal of 101414351300 is 3153414101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1152195136 + 100262156164 = 33944^2 + 316642^2 .

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 5 ways as a sum of consecutive naturals, for example, 507071657 + ... + 507071856.

Almost surely, 2^101414351300 is an apocalyptic number.

101414351300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101414351300 is an abundant number, since it is smaller than the sum of its proper divisors (118654791238).

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

101414351300 is a wasteful number, since it uses less digits than its factorization.

101414351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014143527 (or 1014143520 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 101414351300 its reverse (3153414101), we get a palindrome (104567765401).

The spelling of 101414351300 in words is "one hundred one billion, four hundred fourteen million, three hundred fifty-one thousand, three hundred".