100121101020020 has 96 divisors (see below), whose sum is σ = 215774126346240. Its totient is φ = 39002534766720.

The previous prime is 100121101020011. The next prime is 100121101020023. The reversal of 100121101020020 is 20020101121001.

It is a super-2 number, since 2×100121101020020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121101019983 and 100121101020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121101020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2643721685 + ... + 2643759555.

It is an arithmetic number, because the mean of its divisors is an integer number (2247647149440).

Almost surely, 2^{100121101020020} is an apocalyptic number.

100121101020020 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 100121101020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107887063173120).

100121101020020 is an abundant number, since it is smaller than the sum of its proper divisors (115653025326220).

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

100121101020020 is a wasteful number, since it uses less digits than its factorization.

100121101020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46845 (or 46843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121101020020 its reverse (20020101121001), we get a palindrome (120141202141021).

The spelling of 100121101020020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred one million, twenty thousand, twenty".