101112021101120 has 224 divisors, whose sum is σ = 256987496793600. Its totient is φ = 37828370571264.

The previous prime is 101112021101111. The next prime is 101112021101123. The reversal of 101112021101120 is 21101120211101.

It is a super-2 number, since 2×101112021101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112021101095 and 101112021101104.

It is not an unprimeable number, because it can be changed into a prime (101112021101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37554227 + ... + 40156493.

Almost surely, 2^{101112021101120} is an apocalyptic number.

101112021101120 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 101112021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128493748396800).

101112021101120 is an abundant number, since it is smaller than the sum of its proper divisors (155875475692480).

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

101112021101120 is a wasteful number, since it uses less digits than its factorization.

101112021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602445 (or 2602435 counting only the distinct ones).

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

Adding to 101112021101120 its reverse (21101120211101), we get a palindrome (122213141312221).

The spelling of 101112021101120 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, one hundred one thousand, one hundred twenty".