1012103422000 has 320 divisors, whose sum is σ = 2769860396160. Its totient is φ = 354310656000.

The previous prime is 1012103421991. The next prime is 1012103422073. The reversal of 1012103422000 is 2243012101.

It is a super-2 number, since 2×1012103422000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237971874 + ... + 237976126.

It is an arithmetic number, because the mean of its divisors is an integer number (8655813738).

Almost surely, 2^{1012103422000} is an apocalyptic number.

1012103422000 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 1012103422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384930198080).

1012103422000 is an abundant number, since it is smaller than the sum of its proper divisors (1757756974160).

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

1012103422000 is a wasteful number, since it uses less digits than its factorization.

1012103422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1012103422000 its reverse (2243012101), we get a palindrome (1014346434101).

The spelling of 1012103422000 in words is "one trillion, twelve billion, one hundred three million, four hundred twenty-two thousand".