101120111221122 has 128 divisors (see below), whose sum is σ = 257138838489600. Its totient is φ = 28854813523968.

The previous prime is 101120111221013. The next prime is 101120111221127. The reversal of 101120111221122 is 221122111021101.

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 = 101120111221095 and 101120111221104.

It is not an unprimeable number, because it can be changed into a prime (101120111221127) 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, 2041279938 + ... + 2041329474.

It is an arithmetic number, because the mean of its divisors is an integer number (2008897175700).

Almost surely, 2^{101120111221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120111221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128569419244800).

101120111221122 is an abundant number, since it is smaller than the sum of its proper divisors (156018727268478).

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

101120111221122 is a wasteful number, since it uses less digits than its factorization.

101120111221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56297 (or 56291 counting only the distinct ones).

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

Adding to 101120111221122 its reverse (221122111021101), we get a palindrome (322242222242223).

The spelling of 101120111221122 in words is "one hundred one trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".