101003020113120 has 48 divisors (see below), whose sum is σ = 318159513357840. Its totient is φ = 26934138696704.

The previous prime is 101003020113077. The next prime is 101003020113143. The reversal of 101003020113120 is 21311020300101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101003020113120² (a number of 29 digits) contains 22 as substring.

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 101003020113120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105211478805 + ... + 105211479764.

It is an arithmetic number, because the mean of its divisors is an integer number (6628323194955).

Almost surely, 2^{101003020113120} is an apocalyptic number.

101003020113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003020113120 is an abundant number, since it is smaller than the sum of its proper divisors (217156493244720).

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

101003020113120 is a wasteful number, since it uses less digits than its factorization.

101003020113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210422958587 (or 210422958579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101003020113120 its reverse (21311020300101), we get a palindrome (122314040413221).

The spelling of 101003020113120 in words is "one hundred one trillion, three billion, twenty million, one hundred thirteen thousand, one hundred twenty".