100210110002020 has 96 divisors (see below), whose sum is σ = 226602025977600. Its totient is φ = 37091107713024.

The previous prime is 100210110001961. The next prime is 100210110002029. The reversal of 100210110002020 is 20200011012001.

It is a super-2 number, since 2×100210110002020² (a number of 29 digits) contains 22 as substring.

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 = 100210110001988 and 100210110002006.

It is not an unprimeable number, because it can be changed into a prime (100210110002029) 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, 5425425 + ... + 15160984.

It is an arithmetic number, because the mean of its divisors is an integer number (2360437770600).

Almost surely, 2^{100210110002020} is an apocalyptic number.

100210110002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210110002020 is an abundant number, since it is smaller than the sum of its proper divisors (126391915975580).

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

100210110002020 is a wasteful number, since it uses less digits than its factorization.

100210110002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20586677 (or 20586675 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210110002020 its reverse (20200011012001), we get a palindrome (120410121014021).

The spelling of 100210110002020 in words is "one hundred trillion, two hundred ten billion, one hundred ten million, two thousand, twenty".