101101112120120 has 256 divisors, whose sum is σ = 275942539192320. Its totient is φ = 32544239616000.

The previous prime is 101101112120119. The next prime is 101101112120143. The reversal of 101101112120120 is 21021211101101.

It is a super-2 number, since 2×101101112120120² (a number of 29 digits) contains 22 as substring.

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 = 101101112120095 and 101101112120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3607261547 + ... + 3607289573.

It is an arithmetic number, because the mean of its divisors is an integer number (1077900543720).

Almost surely, 2^{101101112120120} is an apocalyptic number.

101101112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137971269596160).

101101112120120 is an abundant number, since it is smaller than the sum of its proper divisors (174841427072200).

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

101101112120120 is a wasteful number, since it uses less digits than its factorization.

101101112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29894 (or 29890 counting only the distinct ones).

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

Adding to 101101112120120 its reverse (21021211101101), we get a palindrome (122122323221221).

The spelling of 101101112120120 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".