10122201000 has 384 divisors, whose sum is σ = 35580448800. Its totient is φ = 2593382400.

The previous prime is 10122200993. The next prime is 10122201017. The reversal of 10122201000 is 10222101.

It can be written as a sum of positive squares in 16 ways, for example, as 2988371556 + 7133829444 = 54666^2 + 84462^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37628866 + ... + 37629134.

Almost surely, 2^10122201000 is an apocalyptic number.

10122201000 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 10122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790224400).

10122201000 is an abundant number, since it is smaller than the sum of its proper divisors (25458247800).

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

10122201000 is a wasteful number, since it uses less digits than its factorization.

10122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

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

Adding to 10122201000 its reverse (10222101), we get a palindrome (10132423101).

The spelling of 10122201000 in words is "ten billion, one hundred twenty-two million, two hundred one thousand".