101012002002120 has 256 divisors, whose sum is σ = 338902226657280. Its totient is φ = 23875609779200.

The previous prime is 101012002002103. The next prime is 101012002002217. The reversal of 101012002002120 is 21200200210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012002002096 and 101012002002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13221130 + ... + 19411910.

It is an arithmetic number, because the mean of its divisors is an integer number (1323836822880).

Almost surely, 2^{101012002002120} is an apocalyptic number.

101012002002120 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 101012002002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169451113328640).

101012002002120 is an abundant number, since it is smaller than the sum of its proper divisors (237890224655160).

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

101012002002120 is a wasteful number, since it uses less digits than its factorization.

101012002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191116 (or 6191112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012002002120 its reverse (21200200210101), we get a palindrome (122212202212221).

The spelling of 101012002002120 in words is "one hundred one trillion, twelve billion, two million, two thousand, one hundred twenty".