101211110112 has 48 divisors (see below), whose sum is σ = 303633332352. Its totient is φ = 28917459840.

The previous prime is 101211110107. The next prime is 101211110123. The reversal of 101211110112 is 211011112101.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75305214 + ... + 75306557.

It is an arithmetic number, because the mean of its divisors is an integer number (6325694424).

Almost surely, 2^101211110112 is an apocalyptic number.

101211110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211110112 is an abundant number, since it is smaller than the sum of its proper divisors (202422222240).

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

101211110112 is a wasteful number, since it uses less digits than its factorization.

101211110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150611791 (or 150611783 counting only the distinct ones).

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

Adding to 101211110112 its reverse (211011112101), we get a palindrome (312222222213).

The spelling of 101211110112 in words is "one hundred one billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".