112211010102100 has 144 divisors (see below), whose sum is σ = 299723205042688. Its totient is φ = 35508966312960.

The previous prime is 112211010102097. The next prime is 112211010102127. The reversal of 112211010102100 is 1201010112211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 81279184 + ... + 82648216.

Almost surely, 2^{112211010102100} is an apocalyptic number.

112211010102100 is a gapful number since it is divisible by the number (10) 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 112211010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149861602521344).

112211010102100 is an abundant number, since it is smaller than the sum of its proper divisors (187512194940588).

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

112211010102100 is a wasteful number, since it uses less digits than its factorization.

112211010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378074 (or 1378067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112211010102100 its reverse (1201010112211), we get a palindrome (113412020214311).

The spelling of 112211010102100 in words is "one hundred twelve trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred".