101010002000 has 80 divisors (see below), whose sum is σ = 244314739344. Its totient is φ = 40392000000.

The previous prime is 101010001997. The next prime is 101010002003. The reversal of 101010002000 is 200010101.

It is a happy number.

101010002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101010001997) and next prime (101010002003).

It can be written as a sum of positive squares in 8 ways, for example, as 41554007104 + 59455994896 = 203848^2 + 243836^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010002003) 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, 10197050 + ... + 10206950.

Almost surely, 2^101010002000 is an apocalyptic number.

101010002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010002000 is an abundant number, since it is smaller than the sum of its proper divisors (143304737344).

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

101010002000 is an equidigital number, since it uses as much as digits as its factorization.

101010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101010002000 its reverse (200010101), we get a palindrome (101210012101).

The spelling of 101010002000 in words is "one hundred one billion, ten million, two thousand".