10010122000 has 80 divisors (see below), whose sum is σ = 24243506352. Its totient is φ = 3997593600.

The previous prime is 10010121983. The next prime is 10010122037. The reversal of 10010122000 is 22101001.

It can be written as a sum of positive squares in 8 ways, for example, as 1792336896 + 8217785104 = 42336^2 + 90652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1350304 + ... + 1357696.

Almost surely, 2^10010122000 is an apocalyptic number.

10010122000 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 10010122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121753176).

10010122000 is an abundant number, since it is smaller than the sum of its proper divisors (14233384352).

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

10010122000 is an equidigital number, since it uses as much as digits as its factorization.

10010122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010122000 its reverse (22101001), we get a palindrome (10032223001).

The spelling of 10010122000 in words is "ten billion, ten million, one hundred twenty-two thousand".