101300114201 has 32 divisors (see below), whose sum is σ = 120872134656. Its totient is φ = 83678760000.

The previous prime is 101300114191. The next prime is 101300114219. The reversal of 101300114201 is 102411003101.

It is not a de Polignac number, because 101300114201 - 2¹⁰ = 101300113177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101300114261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17923226 + ... + 17928876.

It is an arithmetic number, because the mean of its divisors is an integer number (3777254208).

Almost surely, 2^101300114201 is an apocalyptic number.

101300114201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101300114201 is a deficient number, since it is larger than the sum of its proper divisors (19572020455).

101300114201 is a wasteful number, since it uses less digits than its factorization.

101300114201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101300114201 its reverse (102411003101), we get a palindrome (203711117302).

Subtracting 101300114201 from its reverse (102411003101), we obtain a square (1110888900 = 33330²).

The spelling of 101300114201 in words is "one hundred one billion, three hundred million, one hundred fourteen thousand, two hundred one".