101201211121120 has 288 divisors, whose sum is σ = 276496716754944. Its totient is φ = 34704618009600.

The previous prime is 101201211121103. The next prime is 101201211121123. The reversal of 101201211121120 is 21121112102101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101201211121094 and 101201211121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201211121123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65338369 + ... + 66869311.

It is an arithmetic number, because the mean of its divisors is an integer number (960058044288).

Almost surely, 2^{101201211121120} is an apocalyptic number.

101201211121120 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 101201211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138248358377472).

101201211121120 is an abundant number, since it is smaller than the sum of its proper divisors (175295505633824).

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

101201211121120 is a wasteful number, since it uses less digits than its factorization.

101201211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531086 (or 1531055 counting only the distinct ones).

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

Adding to 101201211121120 its reverse (21121112102101), we get a palindrome (122322323223221).

The spelling of 101201211121120 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".