101000103210000 has 150 divisors (see below), whose sum is σ = 353211950143910. Its totient is φ = 26933360832000.

The previous prime is 101000103209969. The next prime is 101000103210007. The reversal of 101000103210000 is 12301000101.

101000103210000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 14515459927056 + 86484643282944 = 3809916^2 + 9299712^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101000103210007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 561021685 + ... + 561201684.

Almost surely, 2^{101000103210000} is an apocalyptic number.

101000103210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000103210000 is an abundant number, since it is smaller than the sum of its proper divisors (252211846933910).

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

101000103210000 is a wasteful number, since it uses less digits than its factorization.

101000103210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122223403 (or 1122223379 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101000103210000 its reverse (12301000101), we get a palindrome (101012404210101).

The spelling of 101000103210000 in words is "one hundred one trillion, one hundred three million, two hundred ten thousand".