100101112102020 has 48 divisors (see below), whose sum is σ = 285571474534080. Its totient is φ = 26189976498816.

The previous prime is 100101112102009. The next prime is 100101112102031. The reversal of 100101112102020 is 20201211101001.

It is an interprime number because it is at equal distance from previous prime (100101112102009) and next prime (100101112102031).

It is a super-2 number, since 2×100101112102020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101112101987 and 100101112102005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15739165390 + ... + 15739171749.

It is an arithmetic number, because the mean of its divisors is an integer number (5949405719460).

Almost surely, 2^{100101112102020} is an apocalyptic number.

100101112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101112102020 is an abundant number, since it is smaller than the sum of its proper divisors (185470362432060).

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

100101112102020 is a wasteful number, since it uses less digits than its factorization.

100101112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31478337204 (or 31478337202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101112102020 its reverse (20201211101001), we get a palindrome (120302323203021).

The spelling of 100101112102020 in words is "one hundred trillion, one hundred one billion, one hundred twelve million, one hundred two thousand, twenty".