101102111112 has 32 divisors (see below), whose sum is σ = 252764858880. Its totient is φ = 33699426240.

The previous prime is 101102111107. The next prime is 101102111137. The reversal of 101102111112 is 211111201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 737062 + ... + 863402.

It is an arithmetic number, because the mean of its divisors is an integer number (7898901840).

Almost surely, 2^101102111112 is an apocalyptic number.

101102111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102111112 is an abundant number, since it is smaller than the sum of its proper divisors (151662747768).

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

101102111112 is a wasteful number, since it uses less digits than its factorization.

101102111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159693 (or 159689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102111112 its reverse (211111201101), we get a palindrome (312213312213).

The spelling of 101102111112 in words is "one hundred one billion, one hundred two million, one hundred eleven thousand, one hundred twelve".