10100001022020 has 288 divisors, whose sum is σ = 37896163468800. Its totient is φ = 2120280053760.

The previous prime is 10100001021953. The next prime is 10100001022031. The reversal of 10100001022020 is 2022010000101.

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 = 10100001021993 and 10100001022011.

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, 1710360 + ... + 4808880.

Almost surely, 2^{10100001022020} is an apocalyptic number.

10100001022020 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 10100001022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948081734400).

10100001022020 is an abundant number, since it is smaller than the sum of its proper divisors (27796162446780).

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

10100001022020 is a wasteful number, since it uses less digits than its factorization.

10100001022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098755 (or 3098750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100001022020 its reverse (2022010000101), we get a palindrome (12122011022121).

The spelling of 10100001022020 in words is "ten trillion, one hundred billion, one million, twenty-two thousand, twenty".