201121010103120 has 640 divisors, whose sum is σ = 664439533148160. Its totient is φ = 50254110720000.

The previous prime is 201121010103107. The next prime is 201121010103137. The reversal of 201121010103120 is 21301010121102.

201121010103120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201121010103120² (a number of 29 digits) contains 22 as substring.

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 201121010103120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10754549770 + ... + 10754568470.

It is an arithmetic number, because the mean of its divisors is an integer number (1038186770544).

Almost surely, 2^{201121010103120} is an apocalyptic number.

201121010103120 is a gapful number since it is divisible by the number (20) 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 201121010103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332219766574080).

201121010103120 is an abundant number, since it is smaller than the sum of its proper divisors (463318523045040).

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

201121010103120 is a wasteful number, since it uses less digits than its factorization.

201121010103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175 (or 19169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 201121010103120 its reverse (21301010121102), we get a palindrome (222422020224222).

The spelling of 201121010103120 in words is "two hundred one trillion, one hundred twenty-one billion, ten million, one hundred three thousand, one hundred twenty".