10201201000120 has 192 divisors, whose sum is σ = 24994081213920. Its totient is φ = 3724921728000.

The previous prime is 10201201000087. The next prime is 10201201000223. The reversal of 10201201000120 is 2100010210201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201201000097 and 10201201000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433590235 + ... + 3433593205.

Almost surely, 2^{10201201000120} is an apocalyptic number.

10201201000120 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 10201201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497040606960).

10201201000120 is an abundant number, since it is smaller than the sum of its proper divisors (14792880213800).

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

10201201000120 is a wasteful number, since it uses less digits than its factorization.

10201201000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201201000120 its reverse (2100010210201), we get a palindrome (12301211210321).

The spelling of 10201201000120 in words is "ten trillion, two hundred one billion, two hundred one million, one hundred twenty", and thus it is an aban number.