101211011110112 has 24 divisors (see below), whose sum is σ = 201232041279192. Its totient is φ = 50104460944000.

The previous prime is 101211011110037. The next prime is 101211011110117. The reversal of 101211011110112 is 211011110112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211011110117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15657640814 + ... + 15657647277.

It is an arithmetic number, because the mean of its divisors is an integer number (8384668386633).

Almost surely, 2^{101211011110112} is an apocalyptic number.

It is an amenable number.

101211011110112 is a deficient number, since it is larger than the sum of its proper divisors (100021030169080).

101211011110112 is a wasteful number, since it uses less digits than its factorization.

101211011110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31315288202 (or 31315288194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101211011110112 its reverse (211011110112101), we get a palindrome (312222121222213).

It can be divided in two parts, 101 and 211011110112, that multiplied together give a palindrome (21312122121312).

The spelling of 101211011110112 in words is "one hundred one trillion, two hundred eleven billion, eleven million, one hundred ten thousand, one hundred twelve".