10201122000 has 720 divisors, whose sum is σ = 39604576752. Its totient is φ = 2444083200.

The previous prime is 10201121993. The next prime is 10201122011. The reversal of 10201122000 is 22110201.

It can be written as a sum of positive squares in 24 ways, for example, as 4775915664 + 5425206336 = 69108^2 + 73656^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192473974 + ... + 192474026.

Almost surely, 2^10201122000 is an apocalyptic number.

10201122000 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 10201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802288376).

10201122000 is an abundant number, since it is smaller than the sum of its proper divisors (29403454752).

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

10201122000 is a wasteful number, since it uses less digits than its factorization.

10201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201122000 its reverse (22110201), we get a palindrome (10223232201).

The spelling of 10201122000 in words is "ten billion, two hundred one million, one hundred twenty-two thousand".