1010123026000 has 160 divisors (see below), whose sum is σ = 2668030485120. Its totient is φ = 366833664000.

The previous prime is 1010123025917. The next prime is 1010123026001. The reversal of 1010123026000 is 6203210101.

It is a super-4 number, since 4×1010123026000⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010123026001) 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, 16888147 + ... + 16947853.

It is an arithmetic number, because the mean of its divisors is an integer number (16675190532).

Almost surely, 2^{1010123026000} is an apocalyptic number.

1010123026000 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 1010123026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334015242560).

1010123026000 is an abundant number, since it is smaller than the sum of its proper divisors (1657907459120).

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

1010123026000 is a wasteful number, since it uses less digits than its factorization.

1010123026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60510 (or 60494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010123026000 its reverse (6203210101), we get a palindrome (1016326236101).

The spelling of 1010123026000 in words is "one trillion, ten billion, one hundred twenty-three million, twenty-six thousand".