101112111110010 has 512 divisors, whose sum is σ = 334697552437248. Its totient is φ = 18866009272320.

The previous prime is 101112111110009. The next prime is 101112111110041. The reversal of 101112111110010 is 10011111211101.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10485540249 + ... + 10485549891.

It is an arithmetic number, because the mean of its divisors is an integer number (653706157104).

Almost surely, 2^{101112111110010} is an apocalyptic number.

101112111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112111110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167348776218624).

101112111110010 is an abundant number, since it is smaller than the sum of its proper divisors (233585441327238).

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

101112111110010 is a wasteful number, since it uses less digits than its factorization.

101112111110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19158.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101112111110010 its reverse (10011111211101), we get a palindrome (111123222321111).

The spelling of 101112111110010 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, ten".