10100122000 has 80 divisors (see below), whose sum is σ = 24454684800. Its totient is φ = 4034659200.

The previous prime is 10100121989. The next prime is 10100122007. The reversal of 10100122000 is 22100101.

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

It is not an unprimeable number, because it can be changed into a prime (10100122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715061 + ... + 1720939.

It is an arithmetic number, because the mean of its divisors is an integer number (305683560).

Almost surely, 2^10100122000 is an apocalyptic number.

10100122000 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 10100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227342400).

10100122000 is an abundant number, since it is smaller than the sum of its proper divisors (14354562800).

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

10100122000 is an equidigital number, since it uses as much as digits as its factorization.

10100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6745 counting only the distinct ones).

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

Adding to 10100122000 its reverse (22100101), we get a palindrome (10122222101).

The spelling of 10100122000 in words is "ten billion, one hundred million, one hundred twenty-two thousand".