10202011121000 has 256 divisors, whose sum is σ = 24368183424000. Its totient is φ = 3996992563200.

The previous prime is 10202011120997. The next prime is 10202011121021. The reversal of 10202011121000 is 12111020201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543508466 + ... + 9543509534.

It is an arithmetic number, because the mean of its divisors is an integer number (95188216500).

Almost surely, 2^{10202011121000} is an apocalyptic number.

10202011121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202011121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184091712000).

10202011121000 is an abundant number, since it is smaller than the sum of its proper divisors (14166172303000).

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

10202011121000 is a wasteful number, since it uses less digits than its factorization.

10202011121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1935 counting only the distinct ones).

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

Adding to 10202011121000 its reverse (12111020201), we get a palindrome (10214122141201).

The spelling of 10202011121000 in words is "ten trillion, two hundred two billion, eleven million, one hundred twenty-one thousand".