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2110121100120 = 23351110122397069
BaseRepresentation
bin11110101101001101000…
…001001100001101011000
321110201120222010100110210
4132231031001030031120
5234033012000200440
64253213134211120
7305310524261055
oct36551501141530
97421528110423
102110121100120
11743996394240
122a0b57353aa0
13123ca2b81b47
14741b7b9802c
1539d50a46a80
hex1eb4d04c358

2110121100120 has 256 divisors, whose sum is σ = 6978327552000. Its totient is φ = 506181888000.

The previous prime is 2110121100119. The next prime is 2110121100133. The reversal of 2110121100120 is 210011210112.

It is a super-2 number, since 2×21101211001202 (a number of 25 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 = 2110121100096 and 2110121100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298499946 + ... + 298507014.

It is an arithmetic number, because the mean of its divisors is an integer number (27259092000).

Almost surely, 22110121100120 is an apocalyptic number.

2110121100120 is a gapful number since it is divisible by the number (20) 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 2110121100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489163776000).

2110121100120 is an abundant number, since it is smaller than the sum of its proper divisors (4868206451880).

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

2110121100120 is a wasteful number, since it uses less digits than its factorization.

2110121100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 9430 counting only the distinct ones).

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

Adding to 2110121100120 its reverse (210011210112), we get a palindrome (2320132310232).

The spelling of 2110121100120 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".