101020331120 has 40 divisors (see below), whose sum is σ = 235526577120. Its totient is φ = 40295563520.

The previous prime is 101020331117. The next prime is 101020331231. The reversal of 101020331120 is 21133020101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101020331095 and 101020331104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1729991 + ... + 1787430.

It is an arithmetic number, because the mean of its divisors is an integer number (5888164428).

Almost surely, 2^101020331120 is an apocalyptic number.

101020331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020331120 is an abundant number, since it is smaller than the sum of its proper divisors (134506246000).

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

101020331120 is a wasteful number, since it uses less digits than its factorization.

101020331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517793 (or 3517787 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101020331120 its reverse (21133020101), we get a palindrome (122153351221).

The spelling of 101020331120 in words is "one hundred one billion, twenty million, three hundred thirty-one thousand, one hundred twenty".