101121210112 has 72 divisors (see below), whose sum is σ = 218118134304. Its totient is φ = 46511591424.

The previous prime is 101121210037. The next prime is 101121210277. The reversal of 101121210112 is 211012121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101121210092 and 101121210101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923253 + ... + 1026955.

It is an arithmetic number, because the mean of its divisors is an integer number (3029418532).

Almost surely, 2^101121210112 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 101121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109059067152).

101121210112 is an abundant number, since it is smaller than the sum of its proper divisors (116996924192).

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

101121210112 is a wasteful number, since it uses less digits than its factorization.

101121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104025 (or 104011 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121210112 its reverse (211012121101), we get a palindrome (312133331213).

The spelling of 101121210112 in words is "one hundred one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".