100101220101020 has 24 divisors (see below), whose sum is σ = 217461271255200. Its totient is φ = 38659781556032.

The previous prime is 100101220101011. The next prime is 100101220101023. The reversal of 100101220101020 is 20101022101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101220100992 and 100101220101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101220101023) 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 7 ways as a sum of consecutive naturals, for example, 86294154680 + ... + 86294155839.

It is an arithmetic number, because the mean of its divisors is an integer number (9060886302300).

Almost surely, 2^{100101220101020} is an apocalyptic number.

100101220101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101220101020 is an abundant number, since it is smaller than the sum of its proper divisors (117360051154180).

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

100101220101020 is a wasteful number, since it uses less digits than its factorization.

100101220101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172588310557 (or 172588310555 counting only the distinct ones).

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

Adding to 100101220101020 its reverse (20101022101001), we get a palindrome (120202242202021).

The spelling of 100101220101020 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, twenty".