102212120212020 has 864 divisors, whose sum is σ = 412659308224800. Its totient is φ = 20259210682368.

The previous prime is 102212120211989. The next prime is 102212120212051. The reversal of 102212120212020 is 20212021212201.

It is a happy number.

102212120212020 is a `hidden beast` number, since 1 + 0 + 221 + 212 + 0 + 212 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102212120211989) and next prime (102212120212051).

It can be written as a sum of positive squares in 16 ways, for example, as 18900425841444 + 83311694370576 = 4347462^2 + 9127524^2 .

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 = 102212120211984 and 102212120212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122614786 + ... + 123445574.

It is an arithmetic number, because the mean of its divisors is an integer number (477614940075).

Almost surely, 2^{102212120212020} is an apocalyptic number.

102212120212020 is a gapful number since it is divisible by the number (10) 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 102212120212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206329654112400).

102212120212020 is an abundant number, since it is smaller than the sum of its proper divisors (310447188012780).

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

102212120212020 is a wasteful number, since it uses less digits than its factorization.

102212120212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830897 (or 830885 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212120212020 its reverse (20212021212201), we get a palindrome (122424141424221).

The spelling of 102212120212020 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, twenty".