101301123600 has 90 divisors (see below), whose sum is σ = 351543050586. Its totient is φ = 27013632000.

The previous prime is 101301123593. The next prime is 101301123607. The reversal of 101301123600 is 6321103101.

101301123600 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 11 + 23 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (101301123593) and next prime (101301123607).

It can be written as a sum of positive squares in 3 ways, for example, as 23848007184 + 77453116416 = 154428^2 + 278304^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101301123607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14066001 + ... + 14073200.

Almost surely, 2^101301123600 is an apocalyptic number.

101301123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101301123600 is an abundant number, since it is smaller than the sum of its proper divisors (250241926986).

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

101301123600 is a wasteful number, since it uses less digits than its factorization.

101301123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28139225 (or 28139211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101301123600 its reverse (6321103101), we get a palindrome (107622226701).

The spelling of 101301123600 in words is "one hundred one billion, three hundred one million, one hundred twenty-three thousand, six hundred".