101101410402112 has 112 divisors (see below), whose sum is σ = 210509723418624. Its totient is φ = 48084191936000.

The previous prime is 101101410402107. The next prime is 101101410402119. The reversal of 101101410402112 is 211204014101101.

It is a self number, because there is not a number n which added to its sum of digits gives 101101410402112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101410402119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897099687 + ... + 897212377.

It is an arithmetic number, because the mean of its divisors is an integer number (1879551101952).

Almost surely, 2^{101101410402112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101410402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105254861709312).

101101410402112 is an abundant number, since it is smaller than the sum of its proper divisors (109408313016512).

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

101101410402112 is a wasteful number, since it uses less digits than its factorization.

101101410402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116108 (or 116098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101101410402112 its reverse (211204014101101), we get a palindrome (312305424503213).

The spelling of 101101410402112 in words is "one hundred one trillion, one hundred one billion, four hundred ten million, four hundred two thousand, one hundred twelve".