101120121001120 has 192 divisors, whose sum is σ = 258508785183264. Its totient is φ = 37157508218880.

The previous prime is 101120121001033. The next prime is 101120121001121. The reversal of 101120121001120 is 21100121021101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5204658202384 + 95915462798736 = 2281372^2 + 9793644^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 101120121001120.

It is not an unprimeable number, because it can be changed into a prime (101120121001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778422894 + ... + 778552786.

Almost surely, 2^{101120121001120} is an apocalyptic number.

101120121001120 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 101120121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254392591632).

101120121001120 is an abundant number, since it is smaller than the sum of its proper divisors (157388664182144).

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

101120121001120 is a wasteful number, since it uses less digits than its factorization.

101120121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131715 (or 131707 counting only the distinct ones).

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

Adding to 101120121001120 its reverse (21100121021101), we get a palindrome (122220242022221).

The spelling of 101120121001120 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, one hundred twenty".