101023002020 has 96 divisors (see below), whose sum is σ = 220405933440. Its totient is φ = 38866867200.

The previous prime is 101023001987. The next prime is 101023002023. The reversal of 101023002020 is 20200320101.

It is a happy number.

101023002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101023001992 and 101023002010.

It is not an unprimeable number, because it can be changed into a prime (101023002023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69622295 + ... + 69623745.

It is an arithmetic number, because the mean of its divisors is an integer number (2295895140).

Almost surely, 2^101023002020 is an apocalyptic number.

101023002020 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 101023002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110202966720).

101023002020 is an abundant number, since it is smaller than the sum of its proper divisors (119382931420).

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

101023002020 is a wasteful number, since it uses less digits than its factorization.

101023002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 101023002020 its reverse (20200320101), we get a palindrome (121223322121).

The spelling of 101023002020 in words is "one hundred one billion, twenty-three million, two thousand, twenty".