101220111222012 has 144 divisors (see below), whose sum is σ = 271940467344000. Its totient is φ = 31684240143360.

The previous prime is 101220111221953. The next prime is 101220111222047. The reversal of 101220111222012 is 210222111022101.

101220111222012 is a `hidden beast` number, since 101 + 220 + 1 + 112 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 102684864 + ... + 103665912.

Almost surely, 2^{101220111222012} is an apocalyptic number.

101220111222012 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 101220111222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135970233672000).

101220111222012 is an abundant number, since it is smaller than the sum of its proper divisors (170720356121988).

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

101220111222012 is a wasteful number, since it uses less digits than its factorization.

101220111222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983796 (or 983791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101220111222012 its reverse (210222111022101), we get a palindrome (311442222244113).

The spelling of 101220111222012 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-two thousand, twelve".