101012110121120 has 96 divisors (see below), whose sum is σ = 274037638553280. Its totient is φ = 34798430269440.

The previous prime is 101012110121093. The next prime is 101012110121141. The reversal of 101012110121120 is 21121011210101.

It is a super-2 number, since 2×101012110121120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012110121095 and 101012110121104.

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, 1510315097 + ... + 1510381976.

It is an arithmetic number, because the mean of its divisors is an integer number (2854558734930).

Almost surely, 2^{101012110121120} is an apocalyptic number.

101012110121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012110121120 is an abundant number, since it is smaller than the sum of its proper divisors (173025528432160).

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

101012110121120 is a wasteful number, since it uses less digits than its factorization.

101012110121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020697118 (or 3020697110 counting only the distinct ones).

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

Adding to 101012110121120 its reverse (21121011210101), we get a palindrome (122133121331221).

The spelling of 101012110121120 in words is "one hundred one trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".