1010134890072 has 1344 divisors, whose sum is σ = 3948826775040. Its totient is φ = 235750901760.

The previous prime is 1010134890067. The next prime is 1010134890073. The reversal of 1010134890072 is 2700984310101.

It is a happy number.

1010134890072 is a `hidden beast` number, since 1 + 0 + 101 + 3 + 489 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×1010134890072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010134890073) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1931424003 + ... + 1931424525.

It is an arithmetic number, because the mean of its divisors is an integer number (2938115160).

Almost surely, 2^{1010134890072} is an apocalyptic number.

1010134890072 is a gapful number since it is divisible by the number (12) 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 1010134890072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974413387520).

1010134890072 is an abundant number, since it is smaller than the sum of its proper divisors (2938691884968).

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

1010134890072 is a wasteful number, since it uses less digits than its factorization.

1010134890072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1010134890072 in words is "one trillion, ten billion, one hundred thirty-four million, eight hundred ninety thousand, seventy-two".