101100003201 has 16 divisors (see below), whose sum is σ = 151177579200. Its totient is φ = 66770093664.

The previous prime is 101100003131. The next prime is 101100003233. The reversal of 101100003201 is 102300001101.

It is not a de Polignac number, because 101100003201 - 2¹⁷ = 101099872129 is a prime.

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 (101100003241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17494516 + ... + 17500293.

It is an arithmetic number, because the mean of its divisors is an integer number (9448598700).

Almost surely, 2^101100003201 is an apocalyptic number.

It is an amenable number.

101100003201 is a deficient number, since it is larger than the sum of its proper divisors (50077575999).

101100003201 is a wasteful number, since it uses less digits than its factorization.

101100003201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34994925 (or 34994919 counting only the distinct ones).

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

Adding to 101100003201 its reverse (102300001101), we get a palindrome (203400004302).

The spelling of 101100003201 in words is "one hundred one billion, one hundred million, three thousand, two hundred one".