101001120020 has 48 divisors (see below), whose sum is σ = 216255380880. Its totient is φ = 39617040384.

The previous prime is 101001119987. The next prime is 101001120029. The reversal of 101001120020 is 20021100101.

It can be written as a sum of positive squares in 8 ways, for example, as 9949264516 + 91051855504 = 99746^2 + 301748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001120029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27359 + ... + 450278.

It is an arithmetic number, because the mean of its divisors is an integer number (4505320435).

Almost surely, 2^101001120020 is an apocalyptic number.

101001120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001120020 is an abundant number, since it is smaller than the sum of its proper divisors (115254260860).

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

101001120020 is a wasteful number, since it uses less digits than its factorization.

101001120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477852 (or 477850 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101001120020 its reverse (20021100101), we get a palindrome (121022220121).

The spelling of 101001120020 in words is "one hundred one billion, one million, one hundred twenty thousand, twenty".