101002001201120 has 192 divisors, whose sum is σ = 246492986664960. Its totient is φ = 39087302504448.

The previous prime is 101002001201081. The next prime is 101002001201267. The reversal of 101002001201120 is 21102100200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3107450789 + ... + 3107483291.

It is an arithmetic number, because the mean of its divisors is an integer number (1283817638880).

Almost surely, 2^{101002001201120} is an apocalyptic number.

101002001201120 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 101002001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123246493332480).

101002001201120 is an abundant number, since it is smaller than the sum of its proper divisors (145490985463840).

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

101002001201120 is a wasteful number, since it uses less digits than its factorization.

101002001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002001201120 its reverse (21102100200101), we get a palindrome (122104101401221).

The spelling of 101002001201120 in words is "one hundred one trillion, two billion, one million, two hundred one thousand, one hundred twenty".