101211122101122 has 192 divisors, whose sum is σ = 252883358208000. Its totient is φ = 28954198690560.

The previous prime is 101211122101081. The next prime is 101211122101129. The reversal of 101211122101122 is 221101221112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101211122101095 and 101211122101104.

It is not an unprimeable number, because it can be changed into a prime (101211122101129) 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 95 ways as a sum of consecutive naturals, for example, 970956318 + ... + 971060550.

It is an arithmetic number, because the mean of its divisors is an integer number (1317100824000).

Almost surely, 2^{101211122101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211122101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126441679104000).

101211122101122 is an abundant number, since it is smaller than the sum of its proper divisors (151672236106878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211122101122 is a wasteful number, since it uses less digits than its factorization.

101211122101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107053 (or 107050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211122101122 its reverse (221101221112101), we get a palindrome (322312343213223).

The spelling of 101211122101122 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-two".