10201022110020 has 48 divisors (see below), whose sum is σ = 32643270753408. Its totient is φ = 2331662196480.

The previous prime is 10201022110007. The next prime is 10201022110033. The reversal of 10201022110020 is 2001122010201.

It is an interprime number because it is at equal distance from previous prime (10201022110007) and next prime (10201022110033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201022109978 and 10201022110005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12144073521 + ... + 12144074360.

It is an arithmetic number, because the mean of its divisors is an integer number (680068140696).

Almost surely, 2^{10201022110020} is an apocalyptic number.

10201022110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201022110020 is an abundant number, since it is smaller than the sum of its proper divisors (22442248643388).

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

10201022110020 is a wasteful number, since it uses less digits than its factorization.

10201022110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24288147900 (or 24288147898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201022110020 its reverse (2001122010201), we get a palindrome (12202144120221).

The spelling of 10201022110020 in words is "ten trillion, two hundred one billion, twenty-two million, one hundred ten thousand, twenty".