10001023000020 has 288 divisors, whose sum is σ = 35364092279040. Its totient is φ = 2332221776640.

The previous prime is 10001022999973. The next prime is 10001023000049. The reversal of 10001023000020 is 2000032010001.

It is a happy number.

It is a super-2 number, since 2×10001023000020² (a number of 27 digits) contains 22 as substring.

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 = 10001022999966 and 10001023000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561025 + ... + 4507415.

It is an arithmetic number, because the mean of its divisors is an integer number (122791987080).

Almost surely, 2^{10001023000020} is an apocalyptic number.

10001023000020 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 10001023000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682046139520).

10001023000020 is an abundant number, since it is smaller than the sum of its proper divisors (25363069279020).

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

10001023000020 is a wasteful number, since it uses less digits than its factorization.

10001023000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946460 (or 3946433 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10001023000020 its reverse (2000032010001), we get a palindrome (12001055010021).

The spelling of 10001023000020 in words is "ten trillion, one billion, twenty-three million, twenty", and thus it is an aban number and an uban number.