101100020193 has 6 divisors (see below), whose sum is σ = 146033362514. Its totient is φ = 67400013456.

The previous prime is 101100020089. The next prime is 101100020207. The reversal of 101100020193 is 391020001101.

It can be written as a sum of positive squares in only one way, i.e., 100839907809 + 260112384 = 317553^2 + 16128^2 .

It is not a de Polignac number, because 101100020193 - 2³⁴ = 83920151009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100020293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616667780 + ... + 5616667797.

Almost surely, 2^101100020193 is an apocalyptic number.

It is an amenable number.

101100020193 is a deficient number, since it is larger than the sum of its proper divisors (44933342321).

101100020193 is a wasteful number, since it uses less digits than its factorization.

101100020193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233335583 (or 11233335580 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101100020193 its reverse (391020001101), we get a palindrome (492120021294).

The spelling of 101100020193 in words is "one hundred one billion, one hundred million, twenty thousand, one hundred ninety-three".