101101828293 has 16 divisors (see below), whose sum is σ = 149970836160. Its totient is φ = 67315561488.

The previous prime is 101101828279. The next prime is 101101828313. The reversal of 101101828293 is 392828101101.

It is a happy number.

It is not a de Polignac number, because 101101828293 - 2⁶ = 101101828229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101828253) 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, 2357730 + ... + 2400227.

It is an arithmetic number, because the mean of its divisors is an integer number (9373177260).

Almost surely, 2^101101828293 is an apocalyptic number.

It is an amenable number.

101101828293 is a deficient number, since it is larger than the sum of its proper divisors (48869007867).

101101828293 is an equidigital number, since it uses as much as digits as its factorization.

101101828293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758753 (or 4758747 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 101101828293 its reverse (392828101101), we get a palindrome (493929929394).

It can be divided in two parts, 10110 and 1828293, that added together give a triangular number (1838403 = T₁₉₁₇).

The spelling of 101101828293 in words is "one hundred one billion, one hundred one million, eight hundred twenty-eight thousand, two hundred ninety-three".