101121101001020 has 144 divisors (see below), whose sum is σ = 234345709664640. Its totient is φ = 36547851719808.

The previous prime is 101121101000921. The next prime is 101121101001061. The reversal of 101121101001020 is 20100101121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121101000992 and 101121101001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69029099 + ... + 70478781.

It is an arithmetic number, because the mean of its divisors is an integer number (1627400761560).

Almost surely, 2^{101121101001020} is an apocalyptic number.

101121101001020 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 101121101001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117172854832320).

101121101001020 is an abundant number, since it is smaller than the sum of its proper divisors (133224608663620).

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

101121101001020 is a wasteful number, since it uses less digits than its factorization.

101121101001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450104 (or 1450079 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121101001020 its reverse (20100101121101), we get a palindrome (121221202122121).

The spelling of 101121101001020 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, one thousand, twenty".