100101101202020 has 192 divisors, whose sum is σ = 220874756014080. Its totient is φ = 38076156518400.

The previous prime is 100101101201923. The next prime is 100101101202073. The reversal of 100101101202020 is 20202101101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101101201992 and 100101101202010.

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, 1455113825 + ... + 1455182615.

It is an arithmetic number, because the mean of its divisors is an integer number (1150389354240).

Almost surely, 2^{100101101202020} is an apocalyptic number.

100101101202020 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 100101101202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110437378007040).

100101101202020 is an abundant number, since it is smaller than the sum of its proper divisors (120773654812060).

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

100101101202020 is a wasteful number, since it uses less digits than its factorization.

100101101202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69214 (or 69212 counting only the distinct ones).

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

Adding to 100101101202020 its reverse (20202101101001), we get a palindrome (120303202303021).

The spelling of 100101101202020 in words is "one hundred trillion, one hundred one billion, one hundred one million, two hundred two thousand, twenty".