101110201121120 has 24 divisors (see below), whose sum is σ = 238872850149024. Its totient is φ = 40444080448384.

The previous prime is 101110201121119. The next prime is 101110201121159. The reversal of 101110201121120 is 21121102011101.

It is a super-2 number, since 2×101110201121120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110201121095 and 101110201121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315969378344 + ... + 315969378663.

It is an arithmetic number, because the mean of its divisors is an integer number (9953035422876).

Almost surely, 2^{101110201121120} is an apocalyptic number.

101110201121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110201121120 is an abundant number, since it is smaller than the sum of its proper divisors (137762649027904).

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

101110201121120 is an equidigital number, since it uses as much as digits as its factorization.

101110201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631938757022 (or 631938757014 counting only the distinct ones).

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

Adding to 101110201121120 its reverse (21121102011101), we get a palindrome (122231303132221).

The spelling of 101110201121120 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".