101022132101 has 8 divisors (see below), whose sum is σ = 111758159808. Its totient is φ = 90544804000.

The previous prime is 101022132089. The next prime is 101022132143. The reversal of 101022132101 is 101231220101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022132101 - 2¹⁴ = 101022115717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022132181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64674080 + ... + 64675641.

It is an arithmetic number, because the mean of its divisors is an integer number (13969769976).

Almost surely, 2^101022132101 is an apocalyptic number.

101022132101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022132101 is a deficient number, since it is larger than the sum of its proper divisors (10736027707).

101022132101 is a wasteful number, since it uses less digits than its factorization.

101022132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129349803.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101022132101 its reverse (101231220101), we get a palindrome (202253352202).

The spelling of 101022132101 in words is "one hundred one billion, twenty-two million, one hundred thirty-two thousand, one hundred one".