101034002000 has 40 divisors (see below), whose sum is σ = 244300221672. Its totient is φ = 40413600000.

The previous prime is 101034001967. The next prime is 101034002029. The reversal of 101034002000 is 200430101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20700303376 + 80333698624 = 143876^2 + 283432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25256501 + ... + 25260500.

Almost surely, 2^101034002000 is an apocalyptic number.

101034002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101034002000 is an abundant number, since it is smaller than the sum of its proper divisors (143266219672).

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

101034002000 is an equidigital number, since it uses as much as digits as its factorization.

101034002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50517024 (or 50517008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 101034002000 its reverse (200430101), we get a palindrome (101234432101).

The spelling of 101034002000 in words is "one hundred one billion, thirty-four million, two thousand".