101022212101 has 8 divisors (see below), whose sum is σ = 102016937880. Its totient is φ = 100029253632.

The previous prime is 101022212063. The next prime is 101022212111. The reversal of 101022212101 is 101212220101.

It can be written as a sum of positive squares in 4 ways, for example, as 3337835076 + 97684377025 = 57774^2 + 312545^2 .

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 101022212101 - 2¹¹ = 101022210053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022212111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326796 + ... + 555733.

It is an arithmetic number, because the mean of its divisors is an integer number (12752117235).

Almost surely, 2^101022212101 is an apocalyptic number.

It is an amenable number.

101022212101 is a deficient number, since it is larger than the sum of its proper divisors (994725779).

101022212101 is a wasteful number, since it uses less digits than its factorization.

101022212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883655.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022212101 its reverse (101212220101), we get a palindrome (202234432202).

The spelling of 101022212101 in words is "one hundred one billion, twenty-two million, two hundred twelve thousand, one hundred one".