101211111112 has 64 divisors (see below), whose sum is σ = 200308746240. Its totient is φ = 47871648000.

The previous prime is 101211111061. The next prime is 101211111119. The reversal of 101211111112 is 211111112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211111092 and 101211111101.

It is not an unprimeable number, because it can be changed into a prime (101211111119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10217362 + ... + 10227262.

It is an arithmetic number, because the mean of its divisors is an integer number (3129824160).

Almost surely, 2^101211111112 is an apocalyptic number.

It is an amenable number.

101211111112 is a deficient number, since it is larger than the sum of its proper divisors (99097635128).

101211111112 is a wasteful number, since it uses less digits than its factorization.

101211111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101211111112 its reverse (211111112101), we get a palindrome (312322223213).

It can be divided in two parts, 101 and 211111112, that multiplied together give a palindrome (21322222312).

The spelling of 101211111112 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".