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1010120200001 = 11618111856221
BaseRepresentation
bin11101011001011111101…
…10110000111101000001
310120120022000100212000022
432230233312300331001
5113022211232400001
62052013125303225
7132656502014213
oct16545766607501
93516260325008
101010120200001
1135a431578a50
12143927264b15
137433bb4cc73
1436c665385b3
151b41ee6911b
hexeb2fdb0f41

1010120200001 has 16 divisors (see below), whose sum is σ = 1121395684416. Its totient is φ = 902122920000.

The previous prime is 1010120199997. The next prime is 1010120200043. The reversal of 1010120200001 is 1000020210101.

It is a cyclic number.

It is not a de Polignac number, because 1010120200001 - 22 = 1010120199997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010120200081) 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 15 ways as a sum of consecutive naturals, for example, 383930 + ... + 1472291.

It is an arithmetic number, because the mean of its divisors is an integer number (70087230276).

Almost surely, 21010120200001 is an apocalyptic number.

1010120200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010120200001 is a deficient number, since it is larger than the sum of its proper divisors (111275484415).

1010120200001 is a wasteful number, since it uses less digits than its factorization.

1010120200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857104.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010120200001 its reverse (1000020210101), we get a palindrome (2010140410102).

It can be divided in two parts, 1010120 and 200001, that added together give a palindrome (1210121).

The spelling of 1010120200001 in words is "one trillion, ten billion, one hundred twenty million, two hundred thousand, one".

Divisors: 1 11 61 671 811 8921 49471 544181 1856221 20418431 113229481 1245524291 1505395231 16559347541 91829109091 1010120200001