10001000120020 has 192 divisors, whose sum is σ = 26822420545536. Its totient is φ = 3047998947840.

The previous prime is 10001000119889. The next prime is 10001000120047. The reversal of 10001000120020 is 2002100010001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10001000119985 and 10001000120012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4656517 + ... + 6456403.

It is an arithmetic number, because the mean of its divisors is an integer number (139700107008).

Almost surely, 2^{10001000120020} is an apocalyptic number.

10001000120020 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 10001000120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411210272768).

10001000120020 is an abundant number, since it is smaller than the sum of its proper divisors (16821420425516).

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

10001000120020 is a wasteful number, since it uses less digits than its factorization.

10001000120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800030 (or 1800028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001000120020 its reverse (2002100010001), we get a palindrome (12003100130021).

The spelling of 10001000120020 in words is "ten trillion, one billion, one hundred twenty thousand, twenty".