101100102121122 has 96 divisors (see below), whose sum is σ = 219204111128256. Its totient is φ = 31071706848000.

The previous prime is 101100102121121. The next prime is 101100102121171. The reversal of 101100102121122 is 221121201001101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101100102121121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9315400648 + ... + 9315411500.

It is an arithmetic number, because the mean of its divisors is an integer number (2283376157586).

Almost surely, 2^{101100102121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100102121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109602055564128).

101100102121122 is an abundant number, since it is smaller than the sum of its proper divisors (118104009007134).

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

101100102121122 is a wasteful number, since it uses less digits than its factorization.

101100102121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101100102121122 its reverse (221121201001101), we get a palindrome (322221303122223).

The spelling of 101100102121122 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-two".