112101121020 has 288 divisors, whose sum is σ = 374463274752. Its totient is φ = 24976207872.

The previous prime is 112101120997. The next prime is 112101121031. The reversal of 112101121020 is 20121101211.

It is a super-2 number, since 2×112101121020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112101120987 and 112101121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19104127 + ... + 19109993.

It is an arithmetic number, because the mean of its divisors is an integer number (1300219704).

Almost surely, 2^112101121020 is an apocalyptic number.

112101121020 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 112101121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231637376).

112101121020 is an abundant number, since it is smaller than the sum of its proper divisors (262362153732).

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

112101121020 is a wasteful number, since it uses less digits than its factorization.

112101121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112101121020 its reverse (20121101211), we get a palindrome (132222222231).

The spelling of 112101121020 in words is "one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, twenty".