101020121020 has 192 divisors, whose sum is σ = 282889829376. Its totient is φ = 29390376960.

The previous prime is 101020120997. The next prime is 101020121029. The reversal of 101020121020 is 20121020101.

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 = 101020120988 and 101020121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020121029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1292455 + ... + 1368385.

It is an arithmetic number, because the mean of its divisors is an integer number (1473384528).

Almost surely, 2^101020121020 is an apocalyptic number.

101020121020 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 101020121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141444914688).

101020121020 is an abundant number, since it is smaller than the sum of its proper divisors (181869708356).

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

101020121020 is a wasteful number, since it uses less digits than its factorization.

101020121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76020 (or 76018 counting only the distinct ones).

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

Adding to 101020121020 its reverse (20121020101), we get a palindrome (121141141121).

The spelling of 101020121020 in words is "one hundred one billion, twenty million, one hundred twenty-one thousand, twenty".