101120002010020 has 96 divisors (see below), whose sum is σ = 243464104800000. Its totient is φ = 34558985539584.

The previous prime is 101120002010009. The next prime is 101120002010101. The reversal of 101120002010020 is 20010200021101.

It is a super-3 number, since 3×101120002010020³ (a number of 43 digits) contains 333 as substring.

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 = 101120002009979 and 101120002010006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67701231 + ... + 69178729.

It is an arithmetic number, because the mean of its divisors is an integer number (2536084425000).

Almost surely, 2^{101120002010020} is an apocalyptic number.

101120002010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120002010020 is an abundant number, since it is smaller than the sum of its proper divisors (142344102789980).

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

101120002010020 is a wasteful number, since it uses less digits than its factorization.

101120002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479077 (or 1479075 counting only the distinct ones).

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

Adding to 101120002010020 its reverse (20010200021101), we get a palindrome (121130202031121).

The spelling of 101120002010020 in words is "one hundred one trillion, one hundred twenty billion, two million, ten thousand, twenty".