10201122010020 has 96 divisors (see below), whose sum is σ = 28847474038656. Its totient is φ = 2693222784000.

The previous prime is 10201122009971. The next prime is 10201122010031. The reversal of 10201122010020 is 2001022110201.

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 = 10201122009978 and 10201122010005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164140392 + ... + 164202528.

It is an arithmetic number, because the mean of its divisors is an integer number (300494521236).

Almost surely, 2^{10201122010020} is an apocalyptic number.

10201122010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122010020 is an abundant number, since it is smaller than the sum of its proper divisors (18646352028636).

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

10201122010020 is a wasteful number, since it uses less digits than its factorization.

10201122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89341 (or 89339 counting only the distinct ones).

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

Adding to 10201122010020 its reverse (2001022110201), we get a palindrome (12202144120221).

It can be divided in two parts, 10201 and 122010020, that added together give a palindrome (122020221).

The spelling of 10201122010020 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, ten thousand, twenty".