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10021110001021 = 71923103163719429
BaseRepresentation
bin1001000111010011100010…
…1100111010110101111101
31022111000020101102102020001
42101310320230322311331
52303141213130013041
633151345005354301
72053000306366630
oct221647054726575
938430211372201
1010021110001021
113213a24389259
12115a1a9568991
13578ca97a5ca2
1426904a9d7c17
15125a1336d131
hex91d38b3ad7d

10021110001021 has 64 divisors (see below), whose sum is σ = 12710167142400. Its totient is φ = 7702966377216.

The previous prime is 10021110001003. The next prime is 10021110001039. The reversal of 10021110001021 is 12010001112001.

It is an interprime number because it is at equal distance from previous prime (10021110001003) and next prime (10021110001039).

It is a cyclic number.

It is not a de Polignac number, because 10021110001021 - 211 = 10021109998973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021110000989 and 10021110001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021110002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515771335 + ... + 515790763.

It is an arithmetic number, because the mean of its divisors is an integer number (198596361600).

Almost surely, 210021110001021 is an apocalyptic number.

It is an amenable number.

10021110001021 is a deficient number, since it is larger than the sum of its proper divisors (2689057141379).

10021110001021 is a wasteful number, since it uses less digits than its factorization.

10021110001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21218.

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

Adding to 10021110001021 its reverse (12010001112001), we get a palindrome (22031111113022).

The spelling of 10021110001021 in words is "ten trillion, twenty-one billion, one hundred ten million, one thousand, twenty-one".

Divisors: 1 7 19 23 103 133 161 437 721 1637 1957 2369 3059 11459 13699 16583 19429 31103 37651 45011 136003 168611 217721 263557 315077 369151 446867 715369 1180277 2001187 2584057 3128069 3203609 3878053 5007583 8490473 14008309 22425263 27146371 31805273 38022553 46027301 59433311 73683007 222636911 266157871 322191107 515781049 604300187 731521279 874518719 3275943119 4230101309 5120648953 6121631033 13898904301 22931601833 62242919261 75346691737 97292330107 435700434827 527426842159 1431587143003 10021110001021