10101001100112 has 320 divisors, whose sum is σ = 32886613177600. Its totient is φ = 2942687232000.

The previous prime is 10101001100111. The next prime is 10101001100149. The reversal of 10101001100112 is 21100110010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101001100094 and 10101001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001100111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187025112 + ... + 187079112.

It is an arithmetic number, because the mean of its divisors is an integer number (102770666180).

Almost surely, 2^{10101001100112} is an apocalyptic number.

10101001100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101001100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443306588800).

10101001100112 is an abundant number, since it is smaller than the sum of its proper divisors (22785612077488).

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

10101001100112 is a wasteful number, since it uses less digits than its factorization.

10101001100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55803 (or 55791 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101001100112 its reverse (21100110010101), we get a palindrome (31201111110213).

The spelling of 10101001100112 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred twelve".