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1000021102101 = 327131257471481
BaseRepresentation
bin11101000110101011110…
…01110000111000010101
310112121020012010112010100
432203111321300320111
5112341020400231401
62043223042444313
7132151312055130
oct16432571607025
93477205115110
101000021102101
1135611992924a
12141989063699
13733bc7767a8
143658917b217
151b02d533b86
hexe8d5e70e15

1000021102101 has 48 divisors (see below), whose sum is σ = 1669906263168. Its totient is φ = 564870758400.

The previous prime is 1000021101979. The next prime is 1000021102127. The reversal of 1000021102101 is 1012011200001.

It is a happy number.

It is not a de Polignac number, because 1000021102101 - 210 = 1000021101077 is a prime.

It is a super-2 number, since 2×10000211021012 (a number of 25 digits) contains 22 as substring.

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 (1000021102141) 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, 1885281 + ... + 2356761.

It is an arithmetic number, because the mean of its divisors is an integer number (34789713816).

Almost surely, 21000021102101 is an apocalyptic number.

It is an amenable number.

1000021102101 is a deficient number, since it is larger than the sum of its proper divisors (669885161067).

1000021102101 is a wasteful number, since it uses less digits than its factorization.

1000021102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471882 (or 471879 counting only the distinct ones).

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

Adding to 1000021102101 its reverse (1012011200001), we get a palindrome (2012032302102).

The spelling of 1000021102101 in words is "one trillion, twenty-one million, one hundred two thousand, one hundred one".

Divisors: 1 3 7 9 21 63 131 257 393 771 917 1179 1799 2313 2751 5397 8253 16191 33667 101001 235669 303003 471481 707007 1414443 2121021 3300367 4243329 9901101 29703303 61764011 121170617 185292033 363511851 432348077 555876099 848194319 1090535553 1297044231 2544582957 3891132693 7633748871 15873350827 47620052481 111113455789 142860157443 333340367367 1000021102101