1012121001112 has 64 divisors (see below), whose sum is σ = 2111353896960. Its totient is φ = 451694966400.

The previous prime is 1012121001077. The next prime is 1012121001113. The reversal of 1012121001112 is 2111001212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1012121001092 and 1012121001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121001113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841233 + ... + 4096255.

It is an arithmetic number, because the mean of its divisors is an integer number (32989904640).

Almost surely, 2^{1012121001112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012121001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055676948480).

1012121001112 is an abundant number, since it is smaller than the sum of its proper divisors (1099232895848).

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

1012121001112 is a wasteful number, since it uses less digits than its factorization.

1012121001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256304 (or 256300 counting only the distinct ones).

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

Adding to 1012121001112 its reverse (2111001212101), we get a palindrome (3123122213213).

The spelling of 1012121001112 in words is "one trillion, twelve billion, one hundred twenty-one million, one thousand, one hundred twelve".