10121011121120 has 96 divisors (see below), whose sum is σ = 25601877554400. Its totient is φ = 3767450976256.

The previous prime is 10121011121119. The next prime is 10121011121173. The reversal of 10121011121120 is 2112111012101.

10121011121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121011121120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121011121095 and 10121011121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20662190 + ... + 21146349.

It is an arithmetic number, because the mean of its divisors is an integer number (266686224525).

Almost surely, 2^{10121011121120} is an apocalyptic number.

10121011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121011121120 is an abundant number, since it is smaller than the sum of its proper divisors (15480866433280).

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

10121011121120 is a wasteful number, since it uses less digits than its factorization.

10121011121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41808660 (or 41808652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121011121120 its reverse (2112111012101), we get a palindrome (12233122133221).

The spelling of 10121011121120 in words is "ten trillion, one hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty".