101021303120 has 40 divisors (see below), whose sum is σ = 234888975816. Its totient is φ = 40406035968.

The previous prime is 101021303111. The next prime is 101021303171. The reversal of 101021303120 is 21303120101.

It can be written as a sum of positive squares in 4 ways, for example, as 2319770896 + 98701532224 = 48164^2 + 314168^2 .

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 = 101021303095 and 101021303104.

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, 1826594 + ... + 1881086.

Almost surely, 2^101021303120 is an apocalyptic number.

101021303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021303120 is an abundant number, since it is smaller than the sum of its proper divisors (133867672696).

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

101021303120 is a wasteful number, since it uses less digits than its factorization.

101021303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77679 (or 77673 counting only the distinct ones).

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

Adding to 101021303120 its reverse (21303120101), we get a palindrome (122324423221).

The spelling of 101021303120 in words is "one hundred one billion, twenty-one million, three hundred three thousand, one hundred twenty".