101201020112112 has 40 divisors (see below), whose sum is σ = 265721804181840. Its totient is φ = 33180662330880.

The previous prime is 101201020112107. The next prime is 101201020112117. The reversal of 101201020112112 is 211211020102101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101201020112107) and next prime (101201020112117).

It is a junction number, because it is equal to n+sod(n) for n = 101201020112091 and 101201020112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201020112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17281592037 + ... + 17281597892.

It is an arithmetic number, because the mean of its divisors is an integer number (6643045104546).

Almost surely, 2^{101201020112112} is an apocalyptic number.

101201020112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201020112112 is an abundant number, since it is smaller than the sum of its proper divisors (164520784069728).

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

101201020112112 is a wasteful number, since it uses less digits than its factorization.

101201020112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34563190001 (or 34563189995 counting only the distinct ones).

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

Adding to 101201020112112 its reverse (211211020102101), we get a palindrome (312412040214213).

The spelling of 101201020112112 in words is "one hundred one trillion, two hundred one billion, twenty million, one hundred twelve thousand, one hundred twelve".