101110201032012 has 144 divisors (see below), whose sum is σ = 264053450798592. Its totient is φ = 30047098245120.

The previous prime is 101110201031977. The next prime is 101110201032041. The reversal of 101110201032012 is 210230102011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110201031982 and 101110201032000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2062212 + ... + 14369172.

Almost surely, 2^{101110201032012} is an apocalyptic number.

101110201032012 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 101110201032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132026725399296).

101110201032012 is an abundant number, since it is smaller than the sum of its proper divisors (162943249766580).

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

101110201032012 is a wasteful number, since it uses less digits than its factorization.

101110201032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12307128 (or 12307109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101110201032012 its reverse (210230102011101), we get a palindrome (311340303043113).

The spelling of 101110201032012 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, thirty-two thousand, twelve".