101120001102112 has 48 divisors (see below), whose sum is σ = 206314570256760. Its totient is φ = 48728910082048.

The previous prime is 101120001102091. The next prime is 101120001102179. The reversal of 101120001102112 is 211201100021101.

It is a happy number.

101120001102112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88389405646096 + 12730595456016 = 9401564^2 + 3567996^2 .

It is a super-2 number, since 2×101120001102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120001102092 and 101120001102101.

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, 97297753 + ... + 98331544.

Almost surely, 2^{101120001102112} is an apocalyptic number.

It is an amenable number.

101120001102112 is an abundant number, since it is smaller than the sum of its proper divisors (105194569154648).

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

101120001102112 is a wasteful number, since it uses less digits than its factorization.

101120001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195629893 (or 195629885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101120001102112 its reverse (211201100021101), we get a palindrome (312321101123213).

The spelling of 101120001102112 in words is "one hundred one trillion, one hundred twenty billion, one million, one hundred two thousand, one hundred twelve".