10121120200 has 24 divisors (see below), whose sum is σ = 23531604930. Its totient is φ = 4048448000.

The previous prime is 10121120189. The next prime is 10121120237. The reversal of 10121120200 is 202112101.

It can be written as a sum of positive squares in 3 ways, for example, as 8757590724 + 1363529476 = 93582^2 + 36926^2 .

It is a super-3 number, since 3×10121120200³ (a number of 31 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25302601 + ... + 25303000.

Almost surely, 2^10121120200 is an apocalyptic number.

10121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120200 is an abundant number, since it is smaller than the sum of its proper divisors (13410484730).

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

10121120200 is a wasteful number, since it uses less digits than its factorization.

10121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605617 (or 50605608 counting only the distinct ones).

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

Adding to 10121120200 its reverse (202112101), we get a palindrome (10323232301).

It can be divided in two parts, 10121 and 120200, that added together give a 4-th power (130321 = 19⁴).

The spelling of 10121120200 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".