100003210001000 has 128 divisors (see below), whose sum is σ = 236034682884000. Its totient is φ = 39656084428800.

The previous prime is 100003210000963. The next prime is 100003210001017. The reversal of 100003210001000 is 100012300001.

It can be written as a sum of positive squares in 16 ways, for example, as 600993956644 + 99402216044356 = 775238^2 + 9970066^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59548844 + ... + 61205156.

Almost surely, 2^{100003210001000} is an apocalyptic number.

100003210001000 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 100003210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118017341442000).

100003210001000 is an abundant number, since it is smaller than the sum of its proper divisors (136031472883000).

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

100003210001000 is a wasteful number, since it uses less digits than its factorization.

100003210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656856 (or 1656842 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100003210001000 its reverse (100012300001), we get a palindrome (100103222301001).

The spelling of 100003210001000 in words is "one hundred trillion, three billion, two hundred ten million, one thousand".