21106153212774 has 256 divisors, whose sum is σ = 51679918080000. Its totient is φ = 5616668952576.

The previous prime is 21106153212733. The next prime is 21106153212799. The reversal of 21106153212774 is 47721235160112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3896278114 + ... + 3896283530.

It is an arithmetic number, because the mean of its divisors is an integer number (201874680000).

Almost surely, 2^{21106153212774} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106153212774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25839959040000).

21106153212774 is an abundant number, since it is smaller than the sum of its proper divisors (30573764867226).

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

21106153212774 is a wasteful number, since it uses less digits than its factorization.

21106153212774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147.

The product of its (nonzero) digits is 141120, while the sum is 42.

Adding to 21106153212774 its reverse (47721235160112), we get a palindrome (68827388372886).

The spelling of 21106153212774 in words is "twenty-one trillion, one hundred six billion, one hundred fifty-three million, two hundred twelve thousand, seven hundred seventy-four".