101201121012120 has 256 divisors, whose sum is σ = 330275468338560. Its totient is φ = 24703674089472.

The previous prime is 101201121012113. The next prime is 101201121012143. The reversal of 101201121012120 is 21210121102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101201121012120.

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 63 ways as a sum of consecutive naturals, for example, 200298052 + ... + 200802668.

Almost surely, 2^{101201121012120} is an apocalyptic number.

101201121012120 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 101201121012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165137734169280).

101201121012120 is an abundant number, since it is smaller than the sum of its proper divisors (229074347326440).

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

101201121012120 is a wasteful number, since it uses less digits than its factorization.

101201121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507342 (or 507338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201121012120 its reverse (21210121102101), we get a palindrome (122411242114221).

The spelling of 101201121012120 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, twelve thousand, one hundred twenty".