10101011121120 has 48 divisors (see below), whose sum is σ = 31818185033040. Its totient is φ = 2693602965504.

The previous prime is 10101011121119. The next prime is 10101011121161. The reversal of 10101011121120 is 2112111010101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101011121096 and 10101011121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10521886105 + ... + 10521887064.

It is an arithmetic number, because the mean of its divisors is an integer number (662878854855).

Almost surely, 2^{10101011121120} is an apocalyptic number.

10101011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101011121120 is an abundant number, since it is smaller than the sum of its proper divisors (21717173911920).

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

10101011121120 is a wasteful number, since it uses less digits than its factorization.

10101011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043773187 (or 21043773179 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101011121120 its reverse (2112111010101), we get a palindrome (12213122131221).

The spelling of 10101011121120 in words is "ten trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one hundred twenty".