101111210102112 has 48 divisors (see below), whose sum is σ = 303333630308352. Its totient is φ = 28888917171840.

The previous prime is 101111210102099. The next prime is 101111210102137. The reversal of 101111210102112 is 211201012111101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101111210102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111210102091 and 101111210102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75231554464 + ... + 75231555807.

It is an arithmetic number, because the mean of its divisors is an integer number (6319450631424).

Almost surely, 2^{101111210102112} is an apocalyptic number.

101111210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111210102112 is an abundant number, since it is smaller than the sum of its proper divisors (202222420206240).

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

101111210102112 is a wasteful number, since it uses less digits than its factorization.

101111210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150463110291 (or 150463110283 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101111210102112 its reverse (211201012111101), we get a palindrome (312312222213213).

The spelling of 101111210102112 in words is "one hundred one trillion, one hundred eleven billion, two hundred ten million, one hundred two thousand, one hundred twelve".