10012121000 has 96 divisors (see below), whose sum is σ = 27253535400. Its totient is φ = 3432710400.

The previous prime is 10012120973. The next prime is 10012121051. The reversal of 10012121000 is 12121001.

It can be written as a sum of positive squares in 4 ways, for example, as 6664109956 + 3348011044 = 81634^2 + 57862^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53165 + ... + 151164.

Almost surely, 2^10012121000 is an apocalyptic number.

10012121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012121000 is an abundant number, since it is smaller than the sum of its proper divisors (17241414400).

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

10012121000 is a wasteful number, since it uses less digits than its factorization.

10012121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204364 (or 204343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012121000 its reverse (12121001), we get a palindrome (10024242001).

Subtracting from 10012121000 its reverse (12121001), we obtain a palindrome (9999999999).

It can be divided in two parts, 100121 and 21000, that added together give a palindrome (121121).

The spelling of 10012121000 in words is "ten billion, twelve million, one hundred twenty-one thousand".