10100101121112 has 256 divisors, whose sum is σ = 26756668224000. Its totient is φ = 3172997173248.

The previous prime is 10100101121111. The next prime is 10100101121129. The reversal of 10100101121112 is 21112110100101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101121111) 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, 2795487018 + ... + 2795490630.

It is an arithmetic number, because the mean of its divisors is an integer number (104518235250).

Almost surely, 2^{10100101121112} is an apocalyptic number.

10100101121112 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 10100101121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378334112000).

10100101121112 is an abundant number, since it is smaller than the sum of its proper divisors (16656567102888).

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

10100101121112 is a wasteful number, since it uses less digits than its factorization.

10100101121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4286 counting only the distinct ones).

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

Adding to 10100101121112 its reverse (21112110100101), we get a palindrome (31212211221213).

The spelling of 10100101121112 in words is "ten trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".