20112121000 has 64 divisors (see below), whose sum is σ = 47084778000. Its totient is φ = 8041017600.

The previous prime is 20112120983. The next prime is 20112121019. The reversal of 20112121000 is 12121102.

It can be written as a sum of positive squares in 8 ways, for example, as 1469495556 + 18642625444 = 38334^2 + 136538^2 .

It is a super-2 number, since 2×20112121000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3105766 + ... + 3112234.

Almost surely, 2^20112121000 is an apocalyptic number.

20112121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112121000 is an abundant number, since it is smaller than the sum of its proper divisors (26972657000).

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

20112121000 is a wasteful number, since it uses less digits than its factorization.

20112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20112121000 its reverse (12121102), we get a palindrome (20124242102).

The spelling of 20112121000 in words is "twenty billion, one hundred twelve million, one hundred twenty-one thousand".