101101221112112 has 160 divisors (see below), whose sum is σ = 225307779379200. Its totient is φ = 43586335457280.

The previous prime is 101101221112097. The next prime is 101101221112127. The reversal of 101101221112112 is 211211122101101.

It is an interprime number because it is at equal distance from previous prime (101101221112097) and next prime (101101221112127).

It is a super-2 number, since 2×101101221112112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100456037 + ... + 101457467.

It is an arithmetic number, because the mean of its divisors is an integer number (1408173621120).

Almost surely, 2^{101101221112112} 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 101101221112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112653889689600).

101101221112112 is an abundant number, since it is smaller than the sum of its proper divisors (124206558267088).

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

101101221112112 is a wasteful number, since it uses less digits than its factorization.

101101221112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001971 (or 1001965 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101101221112112 its reverse (211211122101101), we get a palindrome (312312343213213).

The spelling of 101101221112112 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twelve".