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100111012002120 = 23357479832579593
BaseRepresentation
bin10110110000110011101001…
…010011101111100101001000
3111010110112000112222112120210
4112300303221103233211020
5101110204323033031440
6552530210343121120
730041532126452220
oct2660635123574510
9433415015875523
10100111012002120
1129997929428479
12b28a2274431a0
1343b25741c2c72
141aa1582589080
15b891b5669a80
hex5b0ce94ef948

100111012002120 has 256 divisors, whose sum is σ = 350897425367040. Its totient is φ = 22372863326208.

The previous prime is 100111012002119. The next prime is 100111012002137. The reversal of 100111012002120 is 21200210111001.

100111012002120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001110120021202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100111012002096 and 100111012002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37519044 + ... + 40098636.

It is an arithmetic number, because the mean of its divisors is an integer number (1370693067840).

Almost surely, 2100111012002120 is an apocalyptic number.

100111012002120 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 100111012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175448712683520).

100111012002120 is an abundant number, since it is smaller than the sum of its proper divisors (250786413364920).

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

100111012002120 is a wasteful number, since it uses less digits than its factorization.

100111012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580644 (or 2580640 counting only the distinct ones).

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

Adding to 100111012002120 its reverse (21200210111001), we get a palindrome (121311222113121).

The spelling of 100111012002120 in words is "one hundred trillion, one hundred eleven billion, twelve million, two thousand, one hundred twenty".