21121153134624 has 96 divisors (see below), whose sum is σ = 61843065762240. Its totient is φ = 7012989812736.

The previous prime is 21121153134611. The next prime is 21121153134637. The reversal of 21121153134624 is 42643135112112.

21121153134624 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 15 + 3 + 13 + 4 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (21121153134611) and next prime (21121153134637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21121153134624² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 47337834 + ... + 47781929.

It is an arithmetic number, because the mean of its divisors is an integer number (644198601690).

Almost surely, 2^{21121153134624} is an apocalyptic number.

21121153134624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21121153134624 is an abundant number, since it is smaller than the sum of its proper divisors (40721912627616).

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

21121153134624 is a wasteful number, since it uses less digits than its factorization.

21121153134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95120039 (or 95120025 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 21121153134624 its reverse (42643135112112), we get a palindrome (63764288246736).

The spelling of 21121153134624 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred fifty-three million, one hundred thirty-four thousand, six hundred twenty-four".