101001121020020 has 48 divisors (see below), whose sum is σ = 228418840194048. Its totient is φ = 37292571346560.

The previous prime is 101001121019993. The next prime is 101001121020061. The reversal of 101001121020020 is 20020121100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001121019983 and 101001121020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79792907 + ... + 81048813.

It is an arithmetic number, because the mean of its divisors is an integer number (4758725837376).

Almost surely, 2^{101001121020020} is an apocalyptic number.

101001121020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001121020020 is an abundant number, since it is smaller than the sum of its proper divisors (127417719174028).

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

101001121020020 is a wasteful number, since it uses less digits than its factorization.

101001121020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565240 (or 1565238 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101001121020020 its reverse (20020121100101), we get a palindrome (121021242120121).

The spelling of 101001121020020 in words is "one hundred one trillion, one billion, one hundred twenty-one million, twenty thousand, twenty".