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102120111121120 = 25510131122439059
BaseRepresentation
bin10111001110000010110000…
…111100101010001011100000
3111101120120212010102112021021
4113032002300330222023200
5101341113441421333440
61001105155325535224
730336635360264101
oct2716026074521340
9441516763375237
10102120111121120
112a5a199450a014
12b55368a714514
1344c9b67900101
141b308d56923a8
15bc15a23a284a
hex5ce0b0f2a2e0

102120111121120 has 192 divisors, whose sum is σ = 244566864622080. Its totient is φ = 40291143424000.

The previous prime is 102120111121051. The next prime is 102120111121129. The reversal of 102120111121120 is 21121111021201.

It is a super-3 number, since 3×1021201111211203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102120111121094 and 102120111121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120111121129) 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, 11272775151 + ... + 11272784209.

It is an arithmetic number, because the mean of its divisors is an integer number (1273785753240).

Almost surely, 2102120111121120 is an apocalyptic number.

102120111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122283432311040).

102120111121120 is an abundant number, since it is smaller than the sum of its proper divisors (142446753500960).

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

102120111121120 is a wasteful number, since it uses less digits than its factorization.

102120111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102120111121120 its reverse (21121111021201), we get a palindrome (123241222142321).

The spelling of 102120111121120 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".