101122001020 has 192 divisors, whose sum is σ = 237105792000. Its totient is φ = 36053766144.

The previous prime is 101122001003. The next prime is 101122001059. The reversal of 101122001020 is 20100221101.

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 = 101122000988 and 101122001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170525844 + ... + 170526436.

It is an arithmetic number, because the mean of its divisors is an integer number (1234926000).

Almost surely, 2^101122001020 is an apocalyptic number.

101122001020 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 101122001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896000).

101122001020 is an abundant number, since it is smaller than the sum of its proper divisors (135983790980).

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

101122001020 is a wasteful number, since it uses less digits than its factorization.

101122001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

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

Adding to 101122001020 its reverse (20100221101), we get a palindrome (121222222121).

The spelling of 101122001020 in words is "one hundred one billion, one hundred twenty-two million, one thousand, twenty".