102201012000 has 144 divisors (see below), whose sum is σ = 362711519352. Its totient is φ = 27253593600.

The previous prime is 102201011959. The next prime is 102201012019. The reversal of 102201012000 is 210102201.

It can be written as a sum of positive squares in 4 ways, for example, as 48345455376 + 53855556624 = 219876^2 + 232068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 1383459 + ... + 1455458.

Almost surely, 2^102201012000 is an apocalyptic number.

102201012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201012000 is an abundant number, since it is smaller than the sum of its proper divisors (260510507352).

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

102201012000 is a wasteful number, since it uses less digits than its factorization.

102201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838948 (or 2838927 counting only the distinct ones).

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

Adding to 102201012000 its reverse (210102201), we get a palindrome (102411114201).

The spelling of 102201012000 in words is "one hundred two billion, two hundred one million, twelve thousand".