10122000000 has 448 divisors, whose sum is σ = 38568256320. Its totient is φ = 2304000000.

The previous prime is 10121999969. The next prime is 10122000001. The reversal of 10122000000 is 22101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10122000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41999880 + ... + 42000120.

Almost surely, 2^10122000000 is an apocalyptic number.

10122000000 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 10122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284128160).

10122000000 is an abundant number, since it is smaller than the sum of its proper divisors (28446256320).

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

10122000000 is an frugal number, since it uses more digits than its factorization.

10122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10122000000 its reverse (22101), we get a palindrome (10122022101).

It can be divided in two parts, 10 and 122000000, that added together give a triangular number (122000010 = T₁₅₆₂₀).

The spelling of 10122000000 in words is "ten billion, one hundred twenty-two million", and thus it is an aban number.