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102110020112001 = 31129375891391561
BaseRepresentation
bin10111001101111001010111…
…011110100000111010000001
3111101112121210212102011002210
4113031321113132200322001
5101340432310122041001
61001100410132332333
730336130326154326
oct2715712736407201
9441477725364083
10102110020112001
112a598686394560
12b5517331740a9
1344c8c1a0c95b5
141b302193dcb4d
15bc11b1518dd6
hex5cde577a0e81

102110020112001 has 32 divisors (see below), whose sum is σ = 149050317144960. Its totient is φ = 61665478515200.

The previous prime is 102110020111991. The next prime is 102110020112003. The reversal of 102110020112001 is 100211020011201.

It is a cyclic number.

It is not a de Polignac number, because 102110020112001 - 25 = 102110020111969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102110020112003) 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, 72682261 + ... + 74073821.

It is an arithmetic number, because the mean of its divisors is an integer number (4657822410780).

Almost surely, 2102110020112001 is an apocalyptic number.

102110020112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102110020112001 is a deficient number, since it is larger than the sum of its proper divisors (46940297032959).

102110020112001 is a wasteful number, since it uses less digits than its factorization.

102110020112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399457.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102110020112001 its reverse (100211020011201), we get a palindrome (202321040123202).

The spelling of 102110020112001 in words is "one hundred two trillion, one hundred ten billion, twenty million, one hundred twelve thousand, one".

Divisors: 1 3 11 33 293 879 3223 7589 9669 22767 83479 250437 1391561 2223577 4174683 6670731 15307171 24459347 45921513 73378041 407727373 1223182119 4485001103 10560556429 13455003309 31681669287 116166120719 348498362157 3094243033697 9282729101091 34036673370667 102110020112001