100121101001020 has 192 divisors, whose sum is σ = 233397049536000. Its totient is φ = 35771112115200.

The previous prime is 100121101001003. The next prime is 100121101001023. The reversal of 100121101001020 is 20100101121001.

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 = 100121101000988 and 100121101001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121101001023) 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, 17512871202 + ... + 17512876918.

It is an arithmetic number, because the mean of its divisors is an integer number (1215609633000).

Almost surely, 2^{100121101001020} is an apocalyptic number.

100121101001020 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 100121101001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116698524768000).

100121101001020 is an abundant number, since it is smaller than the sum of its proper divisors (133275948534980).

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

100121101001020 is a wasteful number, since it uses less digits than its factorization.

100121101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121101001020 its reverse (20100101121001), we get a palindrome (120221202122021).

The spelling of 100121101001020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred one million, one thousand, twenty".