10120001000 has 64 divisors (see below), whose sum is σ = 23730183360. Its totient is φ = 4039560000.

The previous prime is 10120000987. The next prime is 10120001033. The reversal of 10120001000 is 10002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480695 + ... + 501305.

It is an arithmetic number, because the mean of its divisors is an integer number (370784115).

Almost surely, 2^10120001000 is an apocalyptic number.

10120001000 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 10120001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865091680).

10120001000 is an abundant number, since it is smaller than the sum of its proper divisors (13610182360).

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

10120001000 is a wasteful number, since it uses less digits than its factorization.

10120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21123 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10120001000 its reverse (10002101), we get a palindrome (10130003101).

The spelling of 10120001000 in words is "ten billion, one hundred twenty million, one thousand".