101001111112122 has 128 divisors (see below), whose sum is σ = 223796691901440. Its totient is φ = 30190164480000.

The previous prime is 101001111112093. The next prime is 101001111112123. The reversal of 101001111112122 is 221211111100101.

It is not an unprimeable number, because it can be changed into a prime (101001111112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1560818704 + ... + 1560883412.

It is an arithmetic number, because the mean of its divisors is an integer number (1748411655480).

Almost surely, 2^{101001111112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001111112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111898345950720).

101001111112122 is an abundant number, since it is smaller than the sum of its proper divisors (122795580789318).

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

101001111112122 is a wasteful number, since it uses less digits than its factorization.

101001111112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66840.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101001111112122 its reverse (221211111100101), we get a palindrome (322212222212223).

The spelling of 101001111112122 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".