1031012212122 has 64 divisors (see below), whose sum is σ = 2412773606400. Its totient is φ = 325441171440.

The previous prime is 1031012212093. The next prime is 1031012212129. The reversal of 1031012212122 is 2212122101301.

1031012212122 is a `hidden beast` number, since 10 + 310 + 1 + 221 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031012212095 and 1031012212104.

It is not an unprimeable number, because it can be changed into a prime (1031012212129) 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, 2153673 + ... + 2588499.

It is an arithmetic number, because the mean of its divisors is an integer number (37699587600).

Almost surely, 2^{1031012212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031012212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206386803200).

1031012212122 is an abundant number, since it is smaller than the sum of its proper divisors (1381761394278).

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

1031012212122 is a wasteful number, since it uses less digits than its factorization.

1031012212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437168 (or 437162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1031012212122 its reverse (2212122101301), we get a palindrome (3243134313423).

The spelling of 1031012212122 in words is "one trillion, thirty-one billion, twelve million, two hundred twelve thousand, one hundred twenty-two".