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2100102112020 = 22351131472183921
BaseRepresentation
bin11110100011110111110…
…101110010001100010100
321102202201201122000120110
4132203313311302030110
5233402002120041040
64244435032403020
7304504326263163
oct36436765621424
97382651560513
102100102112020
1173a714990190
1229b01bb46470
13123067276a13
14739072d13da
1539966187980
hex1e8f7d72314

2100102112020 has 192 divisors, whose sum is σ = 6762680451072. Its totient is φ = 482209536000.

The previous prime is 2100102112013. The next prime is 2100102112021. The reversal of 2100102112020 is 202112010012.

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 = 2100102111987 and 2100102112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102112021) 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 63 ways as a sum of consecutive naturals, for example, 130341 + ... + 2053580.

It is an arithmetic number, because the mean of its divisors is an integer number (35222294016).

Almost surely, 22100102112020 is an apocalyptic number.

2100102112020 is a gapful number since it is divisible by the number (20) 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 2100102112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381340225536).

2100102112020 is an abundant number, since it is smaller than the sum of its proper divisors (4662578339052).

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

2100102112020 is a wasteful number, since it uses less digits than its factorization.

2100102112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184022 (or 2184020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100102112020 its reverse (202112010012), we get a palindrome (2302214122032).

It can be divided in two parts, 2100102 and 112020, that added together give a palindrome (2212122).

The spelling of 2100102112020 in words is "two trillion, one hundred billion, one hundred two million, one hundred twelve thousand, twenty".