1020111332112 has 120 divisors (see below), whose sum is σ = 2908257663168. Its totient is φ = 333706464000.

The previous prime is 1020111332081. The next prime is 1020111332131. The reversal of 1020111332112 is 2112331110201.

1020111332112 is a `hidden beast` number, since 10 + 201 + 11 + 332 + 112 = 666.

1020111332112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760237 + ... + 4022387.

Almost surely, 2^{1020111332112} is an apocalyptic number.

1020111332112 is a gapful number since it is divisible by the number (12) 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 1020111332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454128831584).

1020111332112 is an abundant number, since it is smaller than the sum of its proper divisors (1888146331056).

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

1020111332112 is a wasteful number, since it uses less digits than its factorization.

1020111332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262669 (or 262660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1020111332112 its reverse (2112331110201), we get a palindrome (3132442442313).

The spelling of 1020111332112 in words is "one trillion, twenty billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twelve".