101003311120 has 40 divisors (see below), whose sum is σ = 234886923864. Its totient is φ = 40391995392.

The previous prime is 101003311069. The next prime is 101003311121. The reversal of 101003311120 is 21113300101.

It can be written as a sum of positive squares in 4 ways, for example, as 123387664 + 100879923456 = 11108^2 + 317616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 101003311120.

It is not an unprimeable number, because it can be changed into a prime (101003311121) 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, 208192 + ... + 495328.

Almost surely, 2^101003311120 is an apocalyptic number.

101003311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003311120 is an abundant number, since it is smaller than the sum of its proper divisors (133883612744).

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

101003311120 is a wasteful number, since it uses less digits than its factorization.

101003311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291547 (or 291541 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101003311120 its reverse (21113300101), we get a palindrome (122116611221).

The spelling of 101003311120 in words is "one hundred one billion, three million, three hundred eleven thousand, one hundred twenty".