101211012122101 has 16 divisors (see below), whose sum is σ = 116366632462080. Its totient is φ = 86229656000640.

The previous prime is 101211012122083. The next prime is 101211012122107. The reversal of 101211012122101 is 101221210112101.

It is a cyclic number.

It is not a de Polignac number, because 101211012122101 - 2⁹ = 101211012121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211012122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30550035 + ... + 33700543.

It is an arithmetic number, because the mean of its divisors is an integer number (7272914528880).

Almost surely, 2^{101211012122101} is an apocalyptic number.

It is an amenable number.

101211012122101 is a deficient number, since it is larger than the sum of its proper divisors (15155620339979).

101211012122101 is a wasteful number, since it uses less digits than its factorization.

101211012122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178164.

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

Adding to 101211012122101 its reverse (101221210112101), we get a palindrome (202432222234202).

The spelling of 101211012122101 in words is "one hundred one trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred one".