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102101012021019 = 311101107286293149
BaseRepresentation
bin10111001101110000111110…
…100011010111111100011011
3111101111202120002002201100110
4113031300332203113330123
5101340310333034133034
61001052320221535403
730335361154514364
oct2715607643277433
9441452502081313
10102101012021019
112a594883577470
12b54ba3a414563
1344c8112a7564b
141b2da02cbcb6b
15bc0d3578ede9
hex5cdc3e8d7f1b

102101012021019 has 32 divisors (see below), whose sum is σ = 151382656339200. Its totient is φ = 60694147376000.

The previous prime is 102101012021017. The next prime is 102101012021089. The reversal of 102101012021019 is 910120210101201.

It is a cyclic number.

It is not a de Polignac number, because 102101012021019 - 21 = 102101012021017 is a prime.

It is a super-2 number, since 2×1021010120210192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101012020986 and 102101012021004.

It is not an unprimeable number, because it can be changed into a prime (102101012021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142789944 + ... + 143503205.

It is an arithmetic number, because the mean of its divisors is an integer number (4730708010600).

Almost surely, 2102101012021019 is an apocalyptic number.

102101012021019 is a deficient number, since it is larger than the sum of its proper divisors (49281644318181).

102101012021019 is a wasteful number, since it uses less digits than its factorization.

102101012021019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286293371.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 102101012021019 in words is "one hundred two trillion, one hundred one billion, twelve million, twenty-one thousand, nineteen".

Divisors: 1 3 11 33 101 107 303 321 1111 1177 3333 3531 10807 32421 118877 356631 286293149 858879447 3149224639 9447673917 28915608049 30633366943 86746824147 91900100829 318071688539 336967036373 954215065617 1010901109119 3093970061243 9281910183729 34033670673673 102101012021019