10201000010000 has 50 divisors (see below), whose sum is σ = 24697641148422. Its totient is φ = 4080400000000.

The previous prime is 10201000009997. The next prime is 10201000010063. The reversal of 10201000010000 is 1000010201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1110823249936 + 9090176760064 = 1053956^2 + 3014992^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 510040001 + ... + 510060000.

Almost surely, 2^{10201000010000} is an apocalyptic number.

10201000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201000010000 is an abundant number, since it is smaller than the sum of its proper divisors (14496641138422).

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

10201000010000 is an equidigital number, since it uses as much as digits as its factorization.

10201000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020100029 (or 1020100008 counting only the distinct ones).

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

Adding to 10201000010000 its reverse (1000010201), we get a palindrome (10202000020201).

The spelling of 10201000010000 in words is "ten trillion, two hundred one billion, ten thousand".