101221121122112 has 112 divisors (see below), whose sum is σ = 209252271360000. Its totient is φ = 48526574100480.

The previous prime is 101221121122067. The next prime is 101221121122117. The reversal of 101221121122112 is 211221121122101.

It is a happy number.

It is a super-2 number, since 2×101221121122112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221121122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616221689 + ... + 616385927.

Almost surely, 2^{101221121122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221121122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104626135680000).

101221121122112 is an abundant number, since it is smaller than the sum of its proper divisors (108031150237888).

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

101221121122112 is a wasteful number, since it uses less digits than its factorization.

101221121122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167144 (or 167134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101221121122112 its reverse (211221121122101), we get a palindrome (312442242244213).

The spelling of 101221121122112 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".