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1010201211201 = 37213573792143
BaseRepresentation
bin11101011001101001010…
…11110011000101000001
310120120111122210122111010
432230310223303011001
5113022343002224301
62052025141511133
7132661504421400
oct16546453630501
93516448718433
101010201211201
1135a47327a956
1214394a4124a9
13743528756a0
1436c731c5637
151b42711c5d6
hexeb34af3141

1010201211201 has 48 divisors (see below), whose sum is σ = 1687681492224. Its totient is φ = 532754724096.

The previous prime is 1010201211199. The next prime is 1010201211221. The reversal of 1010201211201 is 1021121020101.

1010201211201 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 1010201211201 - 21 = 1010201211199 is a prime.

It is a super-2 number, since 2×10102012112012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010201211221) 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, 10917336 + ... + 11009478.

It is an arithmetic number, because the mean of its divisors is an integer number (35160031088).

Almost surely, 21010201211201 is an apocalyptic number.

It is an amenable number.

1010201211201 is a deficient number, since it is larger than the sum of its proper divisors (677480281023).

1010201211201 is a wasteful number, since it uses less digits than its factorization.

1010201211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97910 (or 97903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010201211201 its reverse (1021121020101), we get a palindrome (2031322231302).

The spelling of 1010201211201 in words is "one trillion, ten billion, two hundred one million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 5737 17211 40159 74581 92143 120477 223743 276429 281113 522067 645001 843339 1197859 1566201 1935003 3593577 3654469 4515007 8385013 10963407 13545021 25155039 58695091 176085273 528624391 1585873173 3700370737 6872117083 11101112211 20616351249 25902595159 48104819581 77707785477 144314458743 336733737067 1010201211201