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1010201202100 = 2252101100019921
BaseRepresentation
bin11101011001101001010…
…11110000110110110100
310120120111122210012000001
432230310223300312310
5113022343001431400
62052025141401044
7132661504353016
oct16546453606664
93516448705001
101010201202100
1135a473274032
1214394a409184
13743528714bc
1436c731c21b6
151b427119a6a
hexeb34af0db4

1010201202100 has 36 divisors (see below), whose sum is σ = 2213840953548. Its totient is φ = 400079680000.

The previous prime is 1010201202079. The next prime is 1010201202121. The reversal of 1010201202100 is 12021020101.

It is an interprime number because it is at equal distance from previous prime (1010201202079) and next prime (1010201202121).

It can be written as a sum of positive squares in 6 ways, for example, as 3815038756 + 1006386163344 = 61766^2 + 1003188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49999861 + ... + 50020060.

It is an arithmetic number, because the mean of its divisors is an integer number (61495582043).

Almost surely, 21010201202100 is an apocalyptic number.

1010201202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010201202100 is an abundant number, since it is smaller than the sum of its proper divisors (1203639751448).

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

1010201202100 is a wasteful number, since it uses less digits than its factorization.

1010201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100020036 (or 100020029 counting only the distinct ones).

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

Adding to 1010201202100 its reverse (12021020101), we get a palindrome (1022222222201).

The spelling of 1010201202100 in words is "one trillion, ten billion, two hundred one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 100019921 200039842 400079684 500099605 1000199210 2000398420 2500498025 5000996050 10001992100 10102012021 20204024042 40408048084 50510060105 101020120210 202040240420 252550300525 505100601050 1010201202100