1010511362112 has 112 divisors (see below), whose sum is σ = 3101200035840. Its totient is φ = 284408289792.

The previous prime is 1010511362111. The next prime is 1010511362129. The reversal of 1010511362112 is 2112631150101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1010511362112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1010511362111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5520912 + ... + 5701007.

Almost surely, 2^{1010511362112} is an apocalyptic number.

1010511362112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010511362112 is an abundant number, since it is smaller than the sum of its proper divisors (2090688673728).

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

1010511362112 is a wasteful number, since it uses less digits than its factorization.

1010511362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222008 (or 11221998 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 1010511362112 in words is "one trillion, ten billion, five hundred eleven million, three hundred sixty-two thousand, one hundred twelve".