101112201201012 has 144 divisors (see below), whose sum is σ = 252419133120000. Its totient is φ = 31494327330816.

The previous prime is 101112201200963. The next prime is 101112201201043. The reversal of 101112201201012 is 210102102211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112201200982 and 101112201201000.

It is a congruent number.

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, 1172421789 + ... + 1172508027.

Almost surely, 2^{101112201201012} is an apocalyptic number.

101112201201012 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 101112201201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126209566560000).

101112201201012 is an abundant number, since it is smaller than the sum of its proper divisors (151306931918988).

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

101112201201012 is a wasteful number, since it uses less digits than its factorization.

101112201201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88698 (or 88679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112201201012 its reverse (210102102211101), we get a palindrome (311214303412113).

The spelling of 101112201201012 in words is "one hundred one trillion, one hundred twelve billion, two hundred one million, two hundred one thousand, twelve".