101001120000020 has 96 divisors (see below), whose sum is σ = 224821339948800. Its totient is φ = 38046872908800.

The previous prime is 101001120000019. The next prime is 101001120000073. The reversal of 101001120000020 is 20000021100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001119999962 and 101001120000007.

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, 99824465 + ... + 100831175.

It is an arithmetic number, because the mean of its divisors is an integer number (2341888957800).

Almost surely, 2^{101001120000020} is an apocalyptic number.

101001120000020 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 101001120000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112410669974400).

101001120000020 is an abundant number, since it is smaller than the sum of its proper divisors (123820219948780).

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

101001120000020 is a wasteful number, since it uses less digits than its factorization.

101001120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011009 (or 1011007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101001120000020 its reverse (20000021100101), we get a palindrome (121001141100121).

It can be divided in two parts, 101001 and 120000020, that added together give a palindrome (120101021).

The spelling of 101001120000020 in words is "one hundred one trillion, one billion, one hundred twenty million, twenty", and thus it is an aban number.