10122121001000 has 64 divisors (see below), whose sum is σ = 23827594452480. Its totient is φ = 4024603732800.

The previous prime is 10122121000993. The next prime is 10122121001087. The reversal of 10122121001000 is 10012122101.

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, 30138752 + ... + 30472751.

It is an arithmetic number, because the mean of its divisors is an integer number (372306163320).

Almost surely, 2^{10122121001000} is an apocalyptic number.

10122121001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121001000 is an abundant number, since it is smaller than the sum of its proper divisors (13705473451480).

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

10122121001000 is a wasteful number, since it uses less digits than its factorization.

10122121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60611691 (or 60611677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10122121001000 its reverse (10012122101), we get a palindrome (10132133123101).

The spelling of 10122121001000 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand".