102201000201000 has 96 divisors (see below), whose sum is σ = 345439380709800. Its totient is φ = 27253600051200.

The previous prime is 102201000200993. The next prime is 102201000201043. The reversal of 102201000201000 is 102000102201.

It can be written as a sum of positive squares in 4 ways, for example, as 26949990230244 + 75251009970756 = 5191338^2 + 8674734^2 .

It is a super-3 number, since 3×102201000201000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677824345 + ... + 5677842344.

Almost surely, 2^{102201000201000} is an apocalyptic number.

102201000201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201000201000 is an abundant number, since it is smaller than the sum of its proper divisors (243238380508800).

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

102201000201000 is a wasteful number, since it uses less digits than its factorization.

102201000201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355666716 (or 11355666699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102201000201000 its reverse (102000102201), we get a palindrome (102303000303201).

The spelling of 102201000201000 in words is "one hundred two trillion, two hundred one billion, two hundred one thousand".