102200121212020 has 96 divisors (see below), whose sum is σ = 236867576956416. Its totient is φ = 36799384704000.

The previous prime is 102200121211963. The next prime is 102200121212081. The reversal of 102200121212020 is 20212121002201.

It is a happy number.

It is a super-4 number, since 4×102200121212020⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200121211985 and 102200121212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23022687 + ... + 27100633.

It is an arithmetic number, because the mean of its divisors is an integer number (2467370593296).

Almost surely, 2^{102200121212020} is an apocalyptic number.

102200121212020 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 102200121212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118433788478208).

102200121212020 is an abundant number, since it is smaller than the sum of its proper divisors (134667455744396).

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

102200121212020 is a wasteful number, since it uses less digits than its factorization.

102200121212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080361 (or 4080359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102200121212020 its reverse (20212121002201), we get a palindrome (122412242214221).

The spelling of 102200121212020 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, twenty".