10121121011120 has 80 divisors (see below), whose sum is σ = 26895401375808. Its totient is φ = 3469822894080.

The previous prime is 10121121011101. The next prime is 10121121011137. The reversal of 10121121011120 is 2111012112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10121121011095 and 10121121011104.

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, 6398600 + ... + 7822040.

Almost surely, 2^{10121121011120} is an apocalyptic number.

10121121011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121011120 is an abundant number, since it is smaller than the sum of its proper divisors (16774280364688).

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

10121121011120 is a wasteful number, since it uses less digits than its factorization.

10121121011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436158 (or 1436152 counting only the distinct ones).

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

Adding to 10121121011120 its reverse (2111012112101), we get a palindrome (12232133123221).

The spelling of 10121121011120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand, one hundred twenty".