102000201210020 has 12 divisors (see below), whose sum is σ = 214200422541084. Its totient is φ = 40800080484000.

The previous prime is 102000201209957. The next prime is 102000201210053. The reversal of 102000201210020 is 20012102000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64444802173504 + 37555399036516 = 8027752^2 + 6128246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102000201209983 and 102000201210010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2550005030231 + ... + 2550005030270.

It is an arithmetic number, because the mean of its divisors is an integer number (17850035211757).

Almost surely, 2^{102000201210020} is an apocalyptic number.

102000201210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000201210020 is an abundant number, since it is smaller than the sum of its proper divisors (112200221331064).

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

102000201210020 is a wasteful number, since it uses less digits than its factorization.

102000201210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100010060510 (or 5100010060508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102000201210020 its reverse (20012102000201), we get a palindrome (122012303210221).

The spelling of 102000201210020 in words is "one hundred two trillion, two hundred one million, two hundred ten thousand, twenty".