102011002000 has 80 divisors (see below), whose sum is σ = 247199896944. Its totient is φ = 40715520000.

The previous prime is 102011001971. The next prime is 102011002007. The reversal of 102011002000 is 200110201.

It can be written as a sum of positive squares in 8 ways, for example, as 44610508944 + 57400493056 = 211212^2 + 239584^2 .

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 (102011002007) 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, 866680 + ... + 977320.

Almost surely, 2^102011002000 is an apocalyptic number.

102011002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123599948472).

102011002000 is an abundant number, since it is smaller than the sum of its proper divisors (145188894944).

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

102011002000 is a wasteful number, since it uses less digits than its factorization.

102011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111125 (or 111109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102011002000 its reverse (200110201), we get a palindrome (102211112201).

The spelling of 102011002000 in words is "one hundred two billion, eleven million, two thousand".