10201122001220 has 48 divisors (see below), whose sum is σ = 21612603282480. Its totient is φ = 4044213497856.

The previous prime is 10201122001199. The next prime is 10201122001289. The reversal of 10201122001220 is 2210022110201.

It can be written as a sum of positive squares in 8 ways, for example, as 2828908708096 + 7372213293124 = 1681936^2 + 2715182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201122001195 and 10201122001204.

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, 114738704 + ... + 114827576.

It is an arithmetic number, because the mean of its divisors is an integer number (450262568385).

Almost surely, 2^{10201122001220} is an apocalyptic number.

10201122001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122001220 is an abundant number, since it is smaller than the sum of its proper divisors (11411481281260).

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

10201122001220 is a wasteful number, since it uses less digits than its factorization.

10201122001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139784 (or 139782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201122001220 its reverse (2210022110201), we get a palindrome (12411144111421).

The spelling of 10201122001220 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one thousand, two hundred twenty".