101020302132101 has 32 divisors (see below), whose sum is σ = 117893256147072. Its totient is φ = 85540685045760.

The previous prime is 101020302132091. The next prime is 101020302132133. The reversal of 101020302132101 is 101231203020101.

It is a cyclic number.

It is not a de Polignac number, because 101020302132101 - 2³⁰ = 101019228390277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101020302132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020302132151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741218375 + ... + 741354651.

It is an arithmetic number, because the mean of its divisors is an integer number (3684164254596).

Almost surely, 2^{101020302132101} is an apocalyptic number.

101020302132101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020302132101 is a deficient number, since it is larger than the sum of its proper divisors (16872954014971).

101020302132101 is a wasteful number, since it uses less digits than its factorization.

101020302132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177269.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101020302132101 its reverse (101231203020101), we get a palindrome (202251505152202).

The spelling of 101020302132101 in words is "one hundred one trillion, twenty billion, three hundred two million, one hundred thirty-two thousand, one hundred one".