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1021011020001 = 34716937106319
BaseRepresentation
bin11101101101110001111…
…11111100100011100001
310121121102000100211110000
432312320333330203201
5113212012310120001
62101013533330213
7133523414322060
oct16667077744341
93547360324400
101021011020001
11364010115235
12145a66636969
137538626b55b
14375bab081d7
151b85b13da86
hexedb8ffc8e1

1021011020001 has 40 divisors (see below), whose sum is σ = 1743221018880. Its totient is φ = 583394933952.

The previous prime is 1021011019993. The next prime is 1021011020119. The reversal of 1021011020001 is 1000201101201.

It is a happy number.

It is not a de Polignac number, because 1021011020001 - 23 = 1021011019993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1021011022001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9550120 + ... + 9656438.

It is an arithmetic number, because the mean of its divisors is an integer number (43580525472).

Almost surely, 21021011020001 is an apocalyptic number.

It is an amenable number.

1021011020001 is a deficient number, since it is larger than the sum of its proper divisors (722209998879).

1021011020001 is a wasteful number, since it uses less digits than its factorization.

1021011020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123275 (or 123266 counting only the distinct ones).

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

Adding to 1021011020001 its reverse (1000201101201), we get a palindrome (2021212121202).

The spelling of 1021011020001 in words is "one trillion, twenty-one billion, eleven million, twenty thousand, one".

Divisors: 1 3 7 9 21 27 63 81 189 567 16937 50811 106319 118559 152433 318957 355677 457299 744233 956871 1067031 1371897 2232699 2870613 3201093 6698097 8611839 9603279 20094291 60282873 1800724903 5402174709 12605074321 16206524127 37815222963 48619572381 113445668889 145858717143 340337006667 1021011020001