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1010010220101 = 3210313729327143
BaseRepresentation
bin11101011001010010100…
…11001110011001000101
310120120000100102021221200
432230221103032121011
5113022000104020401
62051554200133113
7132653665135131
oct16545123163105
93516010367850
101010010220101
1135a385490473
121438b6467199
1374322123abc
1436c55aaa3c1
151b415492686
hexeb294ce645

1010010220101 has 48 divisors (see below), whose sum is σ = 1488939169536. Its totient is φ = 659652219648.

The previous prime is 1010010220099. The next prime is 1010010220117. The reversal of 1010010220101 is 1010220100101.

It is a happy number.

1010010220101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010010220101 - 21 = 1010010220099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010220501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37197136 + ... + 37224278.

It is an arithmetic number, because the mean of its divisors is an integer number (31019566032).

Almost surely, 21010010220101 is an apocalyptic number.

It is an amenable number.

1010010220101 is a deficient number, since it is larger than the sum of its proper divisors (478928949435).

1010010220101 is a wasteful number, since it uses less digits than its factorization.

1010010220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27682 (or 27679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010010220101 its reverse (1010220100101), we get a palindrome (2020230320202).

The spelling of 1010010220101 in words is "one trillion, ten billion, ten million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 103 137 293 309 411 879 927 1233 2637 14111 27143 30179 40141 42333 81429 90537 120423 126999 244287 271611 361269 2795729 3718591 4134523 7952899 8387187 11155773 12403569 23858697 25161561 33467319 37210707 71576091 383014873 819148597 1089547163 1149044619 2457445791 3268641489 3447133857 7372337373 9805924467 112223357789 336670073367 1010010220101