10101011102112 has 192 divisors, whose sum is σ = 31933636245504. Its totient is φ = 2733192422400.

The previous prime is 10101011102093. The next prime is 10101011102267. The reversal of 10101011102112 is 21120111010101.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674258 + ... + 4796369.

It is an arithmetic number, because the mean of its divisors is an integer number (166321022112).

Almost surely, 2^{10101011102112} is an apocalyptic number.

10101011102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101011102112 is an abundant number, since it is smaller than the sum of its proper divisors (21832625143392).

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

10101011102112 is a wasteful number, since it uses less digits than its factorization.

10101011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470771 (or 6470763 counting only the distinct ones).

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

Adding to 10101011102112 its reverse (21120111010101), we get a palindrome (31221122112213).

The spelling of 10101011102112 in words is "ten trillion, one hundred one billion, eleven million, one hundred two thousand, one hundred twelve".