102020000202120 has 512 divisors, whose sum is σ = 422040041902080. Its totient is φ = 19039398727680.

The previous prime is 102020000202119. The next prime is 102020000202139. The reversal of 102020000202120 is 21202000020201.

It is a super-3 number, since 3×102020000202120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102020000202096 and 102020000202105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7032822 + ... + 15921701.

It is an arithmetic number, because the mean of its divisors is an integer number (824296956840).

Almost surely, 2^{102020000202120} is an apocalyptic number.

102020000202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020000202120 is an abundant number, since it is smaller than the sum of its proper divisors (320020041699960).

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

102020000202120 is a wasteful number, since it uses less digits than its factorization.

102020000202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22954605 (or 22954601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020000202120 its reverse (21202000020201), we get a palindrome (123222000222321).

The spelling of 102020000202120 in words is "one hundred two trillion, twenty billion, two hundred two thousand, one hundred twenty".