101211221211120 has 400 divisors, whose sum is σ = 355060563374880. Its totient is φ = 26718024960000.

The previous prime is 101211221211109. The next prime is 101211221211131. The reversal of 101211221211120 is 21112122112101.

It is a happy number.

101211221211120 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 221 + 211 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (101211221211109) and next prime (101211221211131).

It is a super-2 number, since 2×101211221211120² (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 = 101211221211093 and 101211221211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6479998671 + ... + 6480014289.

Almost surely, 2^{101211221211120} is an apocalyptic number.

101211221211120 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 101211221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177530281687440).

101211221211120 is an abundant number, since it is smaller than the sum of its proper divisors (253849342163760).

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

101211221211120 is a wasteful number, since it uses less digits than its factorization.

101211221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25646 (or 25631 counting only the distinct ones).

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

Adding to 101211221211120 its reverse (21112122112101), we get a palindrome (122323343323221).

The spelling of 101211221211120 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".