101020121112020 has 384 divisors, whose sum is σ = 251350852515840. Its totient is φ = 33709467617280.

The previous prime is 101020121111971. The next prime is 101020121112067. The reversal of 101020121112020 is 20211121020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020121111986 and 101020121112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15718080047 + ... + 15718086473.

It is an arithmetic number, because the mean of its divisors is an integer number (654559511760).

Almost surely, 2^{101020121112020} is an apocalyptic number.

101020121112020 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 101020121112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125675426257920).

101020121112020 is an abundant number, since it is smaller than the sum of its proper divisors (150330731403820).

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

101020121112020 is a wasteful number, since it uses less digits than its factorization.

101020121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101020121112020 its reverse (20211121020101), we get a palindrome (121231242132121).

The spelling of 101020121112020 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, one hundred twelve thousand, twenty".