101011211112 has 96 divisors (see below), whose sum is σ = 293825387520. Its totient is φ = 28853637120.

The previous prime is 101011211011. The next prime is 101011211113. The reversal of 101011211112 is 211112110101.

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

It is not an unprimeable number, because it can be changed into a prime (101011211113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7367848 + ... + 7381544.

It is an arithmetic number, because the mean of its divisors is an integer number (3060681120).

Almost surely, 2^101011211112 is an apocalyptic number.

101011211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011211112 is an abundant number, since it is smaller than the sum of its proper divisors (192814176408).

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

101011211112 is a wasteful number, since it uses less digits than its factorization.

101011211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991 (or 19980 counting only the distinct ones).

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

Adding to 101011211112 its reverse (211112110101), we get a palindrome (312123321213).

The spelling of 101011211112 in words is "one hundred one billion, eleven million, two hundred eleven thousand, one hundred twelve".