1020345331122 has 144 divisors (see below), whose sum is σ = 2407723475040. Its totient is φ = 312143300352.

The previous prime is 1020345331111. The next prime is 1020345331141. The reversal of 1020345331122 is 2211335430201.

1020345331122 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 4 + 533 + 1 + 122 = 666.

1020345331122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020345331122² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 489843093 + ... + 489845175.

It is an arithmetic number, because the mean of its divisors is an integer number (16720301910).

Almost surely, 2^{1020345331122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020345331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203861737520).

1020345331122 is an abundant number, since it is smaller than the sum of its proper divisors (1387378143918).

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

1020345331122 is a wasteful number, since it uses less digits than its factorization.

1020345331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1020345331122 in words is "one trillion, twenty billion, three hundred forty-five million, three hundred thirty-one thousand, one hundred twenty-two".