101211112221120 has 1344 divisors, whose sum is σ = 391461662592000. Its totient is φ = 23790002503680.

The previous prime is 101211112221119. The next prime is 101211112221133. The reversal of 101211112221120 is 21122211112101.

It is a happy number.

101211112221120 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 112 + 221 + 120 = 666.

It is a super-2 number, since 2×101211112221120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101211112221093 and 101211112221102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170676411544 + ... + 170676412136.

It is an arithmetic number, because the mean of its divisors is an integer number (291266118000).

Almost surely, 2^{101211112221120} is an apocalyptic number.

101211112221120 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 101211112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195730831296000).

101211112221120 is an abundant number, since it is smaller than the sum of its proper divisors (290250550370880).

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

101211112221120 is a wasteful number, since it uses less digits than its factorization.

101211112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211112221120 its reverse (21122211112101), we get a palindrome (122333323333221).

It can be divided in two parts, 1012111 and 12221120, that added together give a palindrome (13233231).

The spelling of 101211112221120 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".