20102084241024 has 256 divisors, whose sum is σ = 55582360444800. Its totient is φ = 6429351936000.

The previous prime is 20102084241023. The next prime is 20102084241049. The reversal of 20102084241024 is 42014248020102.

It is a happy number.

It is a super-2 number, since 2×20102084241024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102084240982 and 20102084241000.

It is not an unprimeable number, because it can be changed into a prime (20102084241023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277369284 + ... + 1277385020.

Almost surely, 2^{20102084241024} is an apocalyptic number.

20102084241024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102084241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27791180222400).

20102084241024 is an abundant number, since it is smaller than the sum of its proper divisors (35480276203776).

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

20102084241024 is a wasteful number, since it uses less digits than its factorization.

20102084241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16491 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 20102084241024 in words is "twenty trillion, one hundred two billion, eighty-four million, two hundred forty-one thousand, twenty-four".