10201122211220 has 12 divisors (see below), whose sum is σ = 21422356643604. Its totient is φ = 4080448884480.

The previous prime is 10201122211193. The next prime is 10201122211229. The reversal of 10201122211220 is 2211222110201.

It can be written as a sum of positive squares in 2 ways, for example, as 1979907896464 + 8221214314756 = 1407092^2 + 2867266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122211229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255028055261 + ... + 255028055300.

It is an arithmetic number, because the mean of its divisors is an integer number (1785196386967).

Almost surely, 2^{10201122211220} is an apocalyptic number.

10201122211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122211220 is an abundant number, since it is smaller than the sum of its proper divisors (11221234432384).

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

10201122211220 is a wasteful number, since it uses less digits than its factorization.

10201122211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510056110570 (or 510056110568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10201122211220 its reverse (2211222110201), we get a palindrome (12412344321421).

The spelling of 10201122211220 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".