101001002020120 has 16 divisors (see below), whose sum is σ = 227252254545360. Its totient is φ = 40400400808032.

The previous prime is 101001002020111. The next prime is 101001002020157. The reversal of 101001002020120 is 21020200100101.

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 = 101001002020097 and 101001002020106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262512525212 + ... + 1262512525291.

It is an arithmetic number, because the mean of its divisors is an integer number (14203265909085).

Almost surely, 2^{101001002020120} is an apocalyptic number.

101001002020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001002020120 is an abundant number, since it is smaller than the sum of its proper divisors (126251252525240).

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

101001002020120 is a wasteful number, since it uses less digits than its factorization.

101001002020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525025050514 (or 2525025050510 counting only the distinct ones).

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

Adding to 101001002020120 its reverse (21020200100101), we get a palindrome (122021202120221).

The spelling of 101001002020120 in words is "one hundred one trillion, one billion, two million, twenty thousand, one hundred twenty".