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1010210120101 = 71343614232257
BaseRepresentation
bin11101011001101010011…
…01110010000110100101
310120120112021120021012101
432230311031302012211
5113022402242320401
62052030100452101
7132661643225020
oct16546515620645
93516467507171
101010210120101
1135a478305286
121439513aa031
1374354674720
1436c744641b7
151b427ccc101
hexeb353721a5

1010210120101 has 32 divisors (see below), whose sum is σ = 1293107180288. Its totient is φ = 767900528640.

The previous prime is 1010210120057. The next prime is 1010210120113.

1010210120101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1010210120101 - 27 = 1010210119973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010210120131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877436 + ... + 2354821.

It is an arithmetic number, because the mean of its divisors is an integer number (40409599384).

Almost surely, 21010210120101 is an apocalyptic number.

It is an amenable number.

1010210120101 is a deficient number, since it is larger than the sum of its proper divisors (282897060187).

1010210120101 is a wasteful number, since it uses less digits than its factorization.

1010210120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232381.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1010210 and 120101, that added together give a palindrome (1130311).

The spelling of 1010210120101 in words is "one trillion, ten billion, two hundred ten million, one hundred twenty thousand, one hundred one".

Divisors: 1 7 13 43 61 91 301 427 559 793 2623 3913 5551 18361 34099 238693 4232257 29625799 55019341 181987051 258167677 385135387 1273909357 1807173739 2365831663 3356179801 11101210111 16560821641 23493258607 77708470777 144315731443 1010210120101