10220201992 has 192 divisors, whose sum is σ = 27237427200. Its totient is φ = 3481470720.

The previous prime is 10220201963. The next prime is 10220202023. The reversal of 10220201992 is 29910202201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10220201992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975393 + ... + 1980559.

It is an arithmetic number, because the mean of its divisors is an integer number (141861600).

Almost surely, 2^10220201992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220201992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618713600).

10220201992 is an abundant number, since it is smaller than the sum of its proper divisors (17017225208).

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

10220201992 is a wasteful number, since it uses less digits than its factorization.

10220201992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

It can be divided in two parts, 10220 and 201992, that added together give a palindrome (212212).

The spelling of 10220201992 in words is "ten billion, two hundred twenty million, two hundred one thousand, nine hundred ninety-two".