20212132102020 has 192 divisors, whose sum is σ = 63482119061760. Its totient is φ = 5338498765824.

The previous prime is 20212132101991. The next prime is 20212132102033. The reversal of 20212132102020 is 2020123121202.

20212132102020 is a `hidden beast` number, since 20 + 2 + 121 + 321 + 0 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20212132101984 and 20212132102002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326830542 + ... + 326892378.

It is an arithmetic number, because the mean of its divisors is an integer number (330636036780).

Almost surely, 2^{20212132102020} is an apocalyptic number.

20212132102020 is a gapful number since it is divisible by the number (20) 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 20212132102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31741059530880).

20212132102020 is an abundant number, since it is smaller than the sum of its proper divisors (43269986959740).

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

20212132102020 is a wasteful number, since it uses less digits than its factorization.

20212132102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67619 (or 67611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20212132102020 its reverse (2020123121202), we get a palindrome (22232255223222).

The spelling of 20212132102020 in words is "twenty trillion, two hundred twelve billion, one hundred thirty-two million, one hundred two thousand, twenty".