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101202121120002 = 23721131136719561
BaseRepresentation
bin10111000000101011110100…
…011110101101100100000010
3111021022211100211021200220020
4113000223310132231210002
5101231043421001320002
6555123340154154310
730213416622104520
oct2700536436554402
9437284324250806
10101202121120002
112a278640047101
12b425795722996
13446141c004936
141adc2ccd23310
15ba77757e52bc
hex5c0af47ad902

101202121120002 has 64 divisors (see below), whose sum is σ = 233162756057088. Its totient is φ = 28685320272000.

The previous prime is 101202121119959. The next prime is 101202121120003. The reversal of 101202121120002 is 200021121202101.

101202121120002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101202121120003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15603699 + ... + 21115862.

It is an arithmetic number, because the mean of its divisors is an integer number (3643168063392).

Almost surely, 2101202121120002 is an apocalyptic number.

101202121120002 is an abundant number, since it is smaller than the sum of its proper divisors (131960634937086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202121120002 is a wasteful number, since it uses less digits than its factorization.

101202121120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36720095.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202121120002 its reverse (200021121202101), we get a palindrome (301223242322103).

The spelling of 101202121120002 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 42 211 311 422 622 633 933 1266 1477 1866 2177 2954 4354 4431 6531 8862 13062 65621 131242 196863 393726 459347 918694 1378041 2756082 36719561 73439122 110158683 220317366 257036927 514073854 771110781 1542221562 7747827371 11419783471 15495654742 22839566942 23243482113 34259350413 46486964226 54234791597 68518700826 79938484297 108469583194 159876968594 162704374791 239815452891 325408749582 479630905782 2409574312381 4819148624762 7228722937143 14457445874286 16867020186667 33734040373334 50601060560001 101202121120002