101001310020 has 192 divisors, whose sum is σ = 342201888000. Its totient is φ = 24582362112.

The previous prime is 101001309989. The next prime is 101001310051. The reversal of 101001310020 is 20013100101.

It is an interprime number because it is at equal distance from previous prime (101001309989) and next prime (101001310051).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001309984 and 101001310011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543951 + ... + 705609.

It is an arithmetic number, because the mean of its divisors is an integer number (1782301500).

Almost surely, 2^101001310020 is an apocalyptic number.

101001310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171100944000).

101001310020 is an abundant number, since it is smaller than the sum of its proper divisors (241200577980).

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

101001310020 is a wasteful number, since it uses less digits than its factorization.

101001310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161779 (or 161771 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101001310020 its reverse (20013100101), we get a palindrome (121014410121).

The spelling of 101001310020 in words is "one hundred one billion, one million, three hundred ten thousand, twenty".