101301101103120 has 40 divisors (see below), whose sum is σ = 314033413420416. Its totient is φ = 27013626960768.

The previous prime is 101301101103107. The next prime is 101301101103127. The reversal of 101301101103120 is 21301101103101.

101301101103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101301101103120.

It is not an unprimeable number, because it can be changed into a prime (101301101103127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211043960392 + ... + 211043960871.

Almost surely, 2^{101301101103120} is an apocalyptic number.

101301101103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101301101103120 is an abundant number, since it is smaller than the sum of its proper divisors (212732312317296).

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

101301101103120 is a wasteful number, since it uses less digits than its factorization.

101301101103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422087921279 (or 422087921273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101301101103120 its reverse (21301101103101), we get a palindrome (122602202206221).

The spelling of 101301101103120 in words is "one hundred one trillion, three hundred one billion, one hundred one million, one hundred three thousand, one hundred twenty".