10012201121000 has 64 divisors (see below), whose sum is σ = 25230746857680. Its totient is φ = 3696812716800.

The previous prime is 10012201120969. The next prime is 10012201121059. The reversal of 10012201121000 is 12110221001.

It can be written as a sum of positive squares in 8 ways, for example, as 857546377444 + 9154654743556 = 926038^2 + 3025666^2 .

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, 385071659 + ... + 385097658.

Almost surely, 2^{10012201121000} is an apocalyptic number.

10012201121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012201121000 is an abundant number, since it is smaller than the sum of its proper divisors (15218545736680).

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

10012201121000 is a wasteful number, since it uses less digits than its factorization.

10012201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770169351 (or 770169337 counting only the distinct ones).

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

Adding to 10012201121000 its reverse (12110221001), we get a palindrome (10024311342001).

The spelling of 10012201121000 in words is "ten trillion, twelve billion, two hundred one million, one hundred twenty-one thousand".