101350121301 has 48 divisors (see below), whose sum is σ = 177918773760. Its totient is φ = 54744197760.

The previous prime is 101350121291. The next prime is 101350121303. The reversal of 101350121301 is 103121053101.

101350121301 is a `hidden beast` number, since 1 + 0 + 1 + 350 + 12 + 1 + 301 = 666.

It is not a de Polignac number, because 101350121301 - 2⁵ = 101350121269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101350121303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320421 + ... + 1395066.

It is an arithmetic number, because the mean of its divisors is an integer number (3706641120).

Almost surely, 2^101350121301 is an apocalyptic number.

101350121301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101350121301 is a deficient number, since it is larger than the sum of its proper divisors (76568652459).

101350121301 is a wasteful number, since it uses less digits than its factorization.

101350121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715546 (or 2715543 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101350121301 its reverse (103121053101), we get a palindrome (204471174402).

The spelling of 101350121301 in words is "one hundred one billion, three hundred fifty million, one hundred twenty-one thousand, three hundred one".