10100111002000 has 40 divisors (see below), whose sum is σ = 24422068407672. Its totient is φ = 4040044400000.

The previous prime is 10100111001997. The next prime is 10100111002063. The reversal of 10100111002000 is 20011100101.

It can be written as a sum of positive squares in 4 ways, for example, as 3249035090064 + 6851075911936 = 1802508^2 + 2617456^2 .

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

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, 2525025751 + ... + 2525029750.

Almost surely, 2^{10100111002000} is an apocalyptic number.

10100111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100111002000 is an abundant number, since it is smaller than the sum of its proper divisors (14321957405672).

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

10100111002000 is an equidigital number, since it uses as much as digits as its factorization.

10100111002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050055524 (or 5050055508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100111002000 its reverse (20011100101), we get a palindrome (10120122102101).

The spelling of 10100111002000 in words is "ten trillion, one hundred billion, one hundred eleven million, two thousand".