101461016300 has 72 divisors (see below), whose sum is σ = 253850273376. Its totient is φ = 34478760960.

The previous prime is 101461016243. The next prime is 101461016311. The reversal of 101461016300 is 3610164101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562247 + ... + 720446.

Almost surely, 2^101461016300 is an apocalyptic number.

101461016300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101461016300 is an abundant number, since it is smaller than the sum of its proper divisors (152389257076).

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

101461016300 is a wasteful number, since it uses less digits than its factorization.

101461016300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282827 (or 1282820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 101461016300 in words is "one hundred one billion, four hundred sixty-one million, sixteen thousand, three hundred".