101211224112 has 40 divisors (see below), whose sum is σ = 290513700080. Its totient is φ = 33737074560.

The previous prime is 101211224111. The next prime is 101211224113. The reversal of 101211224112 is 211422112101.

101211224112 is a `hidden beast` number, since 10 + 121 + 122 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101211224111) and next prime (101211224113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101211224111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117142189 + ... + 117143052.

It is an arithmetic number, because the mean of its divisors is an integer number (7262842502).

Almost surely, 2^101211224112 is an apocalyptic number.

101211224112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211224112 is an abundant number, since it is smaller than the sum of its proper divisors (189302475968).

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

101211224112 is a wasteful number, since it uses less digits than its factorization.

101211224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234285258 (or 234285246 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211224112 its reverse (211422112101), we get a palindrome (312633336213).

The spelling of 101211224112 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-four thousand, one hundred twelve".