101011201002120 has 64 divisors (see below), whose sum is σ = 310424666509440. Its totient is φ = 26279336844800.

The previous prime is 101011201002077. The next prime is 101011201002157. The reversal of 101011201002120 is 21200102110101.

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 = 101011201002096 and 101011201002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10265361036 + ... + 10265370875.

It is an arithmetic number, because the mean of its divisors is an integer number (4850385414210).

Almost surely, 2^{101011201002120} is an apocalyptic number.

101011201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011201002120 is an abundant number, since it is smaller than the sum of its proper divisors (209413465507320).

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

101011201002120 is a wasteful number, since it uses less digits than its factorization.

101011201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20530731966 (or 20530731962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011201002120 its reverse (21200102110101), we get a palindrome (122211303112221).

The spelling of 101011201002120 in words is "one hundred one trillion, eleven billion, two hundred one million, two thousand, one hundred twenty".