10201122001000 has 64 divisors (see below), whose sum is σ = 27280714855680. Its totient is φ = 3497527540800.

The previous prime is 10201122000959. The next prime is 10201122001013. The reversal of 10201122001000 is 10022110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 728644572 + ... + 728658571.

It is an arithmetic number, because the mean of its divisors is an integer number (426261169620).

Almost surely, 2^{10201122001000} is an apocalyptic number.

10201122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122001000 is an abundant number, since it is smaller than the sum of its proper divisors (17079592854680).

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

10201122001000 is a wasteful number, since it uses less digits than its factorization.

10201122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457303171 (or 1457303157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201122001000 its reverse (10022110201), we get a palindrome (10211144111201).

The spelling of 10201122001000 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one thousand".