10121121001120 has 24 divisors (see below), whose sum is σ = 23911148365524. Its totient is φ = 4048448400384.

The previous prime is 10121121001109. The next prime is 10121121001127. The reversal of 10121121001120 is 2110012112101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9959603821456 + 161517179664 = 3155884^2 + 401892^2 .

It is a super-2 number, since 2×10121121001120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121121001120.

It is not an unprimeable number, because it can be changed into a prime (10121121001127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31628502969 + ... + 31628503288.

Almost surely, 2^{10121121001120} is an apocalyptic number.

10121121001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121001120 is an abundant number, since it is smaller than the sum of its proper divisors (13790027364404).

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

10121121001120 is an equidigital number, since it uses as much as digits as its factorization.

10121121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63257006272 (or 63257006264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121121001120 its reverse (2110012112101), we get a palindrome (12231133113221).

The spelling of 10121121001120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred twenty".