21101214122144 has 24 divisors (see below), whose sum is σ = 44738631865620. Its totient is φ = 9739021902336.

The previous prime is 21101214122137. The next prime is 21101214122179. The reversal of 21101214122144 is 44122141210112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20558062810000 + 543151312144 = 4534100^2 + 736988^2 .

It is a super-2 number, since 2×21101214122144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25362035789 + ... + 25362036620.

Almost surely, 2^{21101214122144} is an apocalyptic number.

It is an amenable number.

21101214122144 is an abundant number, since it is smaller than the sum of its proper divisors (23637417743476).

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

21101214122144 is a wasteful number, since it uses less digits than its factorization.

21101214122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50724072432 (or 50724072424 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 21101214122144 its reverse (44122141210112), we get a palindrome (65223355332256).

The spelling of 21101214122144 in words is "twenty-one trillion, one hundred one billion, two hundred fourteen million, one hundred twenty-two thousand, one hundred forty-four".