102101020202000 has 80 divisors (see below), whose sum is σ = 246882471092400. Its totient is φ = 40840043443200.

The previous prime is 102101020201987. The next prime is 102101020202003. The reversal of 102101020202000 is 202020101201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34969151094784 + 67131869107216 = 5913472^2 + 8193404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102101020202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396089156 + ... + 396346844.

It is an arithmetic number, because the mean of its divisors is an integer number (3086030888655).

Almost surely, 2^{102101020202000} is an apocalyptic number.

102101020202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101020202000 is an abundant number, since it is smaller than the sum of its proper divisors (144781450890400).

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

102101020202000 is a wasteful number, since it uses less digits than its factorization.

102101020202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455821 (or 455805 counting only the distinct ones).

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

Adding to 102101020202000 its reverse (202020101201), we get a palindrome (102303040303201).

The spelling of 102101020202000 in words is "one hundred two trillion, one hundred one billion, twenty million, two hundred two thousand".