10011151454112 has 72 divisors (see below), whose sum is σ = 28829581784640. Its totient is φ = 3294809331840.

The previous prime is 10011151454093. The next prime is 10011151454113. The reversal of 10011151454112 is 21145415111001.

10011151454112 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 115 + 1 + 4 + 541 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10011151454113) 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 11 ways as a sum of consecutive naturals, for example, 219983214 + ... + 220028717.

It is an arithmetic number, because the mean of its divisors is an integer number (400410858120).

Almost surely, 2^{10011151454112} is an apocalyptic number.

10011151454112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011151454112 is an abundant number, since it is smaller than the sum of its proper divisors (18818430330528).

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

10011151454112 is a wasteful number, since it uses less digits than its factorization.

10011151454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440012026 (or 440012015 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Adding to 10011151454112 its reverse (21145415111001), we get a palindrome (31156566565113).

The spelling of 10011151454112 in words is "ten trillion, eleven billion, one hundred fifty-one million, four hundred fifty-four thousand, one hundred twelve".